Shakeia Duncan wants to know what home price she can afford. Her annual gross income is $$46,800.$ She owes $$830$ per month on other debts and expects her property taxes and homeowner's insurance to cost $$170$ per month. She knows she can get an $5\mathrm{.}00$ percent, $30-$year mortgage so her mortgage payment factor is $5\mathrm{.}37.$ She expects to make a $25$ percent down payment. What is Shakeia's affordable home purchase price?