Shakeia Duncan wants to know what home price she can afford. Her annual gross income is $$45,000.$ She owes $$550$ per month on other debts and expects her property taxes and homeowner's insurance to cost $$225$ per month. She knows she can get an $8$ percent, $30-$year mortgage so her mortgage payment factor is $7\mathrm{.}34.$ She expects to make a $20$ percent down payment. What is Shakeia's affordable home purchase price? Do not round intermediate calculations and round your final answer to the nearest $$100.$