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Finding the Fourth Proportional to 288,449.92, 400,097.44 and 280,777.60

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Solution

The fourth proportional to 288,449.92, 400,097.44 and 280,777.60 is: 389,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,449.92 : 400,097.44 = 280,777.60 : x
  2. Step 2: Convert to fraction form
    288,449.92/400,097.44 = 280,777.60/x
  3. Step 3: Cross multiply
    288,449.92x = 400,097.44 × 280,777.60
  4. Step 4: Simplify right side
    288,449.92x = 112,338,398,969.34
  5. Step 5: Solve for x
    x = 112,338,398,969.34/288,449.92
  6. Step 6: Final answer
    x = 389,455.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.