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Finding the Fourth Proportional to 680,542.87, 938,624.58 and 422,572.55

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Solution

The fourth proportional to 680,542.87, 938,624.58 and 422,572.55 is: 582,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,542.87 : 938,624.58 = 422,572.55 : x
  2. Step 2: Convert to fraction form
    680,542.87/938,624.58 = 422,572.55/x
  3. Step 3: Cross multiply
    680,542.87x = 938,624.58 × 422,572.55
  4. Step 4: Simplify right side
    680,542.87x = 396,636,982,263.28
  5. Step 5: Solve for x
    x = 396,636,982,263.28/680,542.87
  6. Step 6: Final answer
    x = 582,824.39

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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.