Andre Wheeler wants to know what home price he can afford. His annual gross income is $$55,200.$ He has no other debt expenses and expects property taxes and insurance to cost $$420$ per month. He knows he can get a $10\mathrm{.}00$ percent, $15-$year mortgage so his mortgage payment factor is $10\mathrm{.}75.$ He expects to make a $25$ percent down payment. What is Andre's affordable home purchase price?