Here's a TV Line article about the cancellation:
The Chances have run out of chances.
Fox has announced that Raising Hope will end its run on April 4, with a one-hour finale.
“On behalf of myself, Greg Garcia and Raising Hope‘s amazing cast and crew, I would like to thank our audience for tuning in and supporting us over the last four seasons,” executive producer Mike Mariano said in a statement. “We planned our Season 4 finale with this possibility in mind, and hope our loyal fans enjoy the way we’ve chosen to say goodbye to the Chances and to Natesville. Thanks again, and we’ll see you in syndication.”
The hour-long series finale kicks off at 9/8c with “How I Met Your Mullet,” in which guest star Lesley Nicol (Downton Abbey) plays Jimmy and Sabrina’s new maid. Then, in “The Father Daughter Dance” (airing at 9:30), Virginia’s dad (returning guest star Jeffrey Tambor, Arrested Development) returns to Natesville with a big surprise for her and Burt — including a musical performance by Kenny Loggins.
Thank you for four seasons and a lot of laughs, show! And I hope to see the incredibly talented cast in something else soon!