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Finding the Fourth Proportional to 417,594.87, 576,542.09 and 286,997.47

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Solution

The fourth proportional to 417,594.87, 576,542.09 and 286,997.47 is: 396,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,594.87 : 576,542.09 = 286,997.47 : x
  2. Step 2: Convert to fraction form
    417,594.87/576,542.09 = 286,997.47/x
  3. Step 3: Cross multiply
    417,594.87x = 576,542.09 × 286,997.47
  4. Step 4: Simplify right side
    417,594.87x = 165,466,120,454.65
  5. Step 5: Solve for x
    x = 165,466,120,454.65/417,594.87
  6. Step 6: Final answer
    x = 396,236.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.