Bryson Sciences is planning to purchase a$$ high$-$powered microscopy machine for $ $388$ comma $000$$$388,000$ and incur an additional $ $31$ comma $600$$$31,600$ in installation expenses. It is replacing older microscopy equipment that can be sold for $ $116$ comma $400$$$116,400,$ resulting in taxes from a gain on the sale of $ $42$ comma $500$$$42,500.$ Because of this$$ transaction, current assets will increase by $ $10$ comma $000$$$10,000$ and current liabilities will increase by $ $5$ comma $700$$$5,700.$ Calculate the initial investment in the$$ high$-$powered microscopy machine.