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Finding the Fourth Proportional to 410,206.28, 615,306.65 and 220,755.78

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Solution

The fourth proportional to 410,206.28, 615,306.65 and 220,755.78 is: 331,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,206.28 : 615,306.65 = 220,755.78 : x
  2. Step 2: Convert to fraction form
    410,206.28/615,306.65 = 220,755.78/x
  3. Step 3: Cross multiply
    410,206.28x = 615,306.65 × 220,755.78
  4. Step 4: Simplify right side
    410,206.28x = 135,832,498,356.16
  5. Step 5: Solve for x
    x = 135,832,498,356.16/410,206.28
  6. Step 6: Final answer
    x = 331,132.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.