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Finding the Fourth Proportional to 415,770.87, 573,765.20 and 224,785.62

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Solution

The fourth proportional to 415,770.87, 573,765.20 and 224,785.62 is: 310,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,770.87 : 573,765.20 = 224,785.62 : x
  2. Step 2: Convert to fraction form
    415,770.87/573,765.20 = 224,785.62/x
  3. Step 3: Cross multiply
    415,770.87x = 573,765.20 × 224,785.62
  4. Step 4: Simplify right side
    415,770.87x = 128,974,165,092.50
  5. Step 5: Solve for x
    x = 128,974,165,092.50/415,770.87
  6. Step 6: Final answer
    x = 310,204.91

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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.