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Finding the Fourth Proportional to 415,773.88, 573,769.34 and 224,788.62

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Solution

The fourth proportional to 415,773.88, 573,769.34 and 224,788.62 is: 310,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,773.88 : 573,769.34 = 224,788.62 : x
  2. Step 2: Convert to fraction form
    415,773.88/573,769.34 = 224,788.62/x
  3. Step 3: Cross multiply
    415,773.88x = 573,769.34 × 224,788.62
  4. Step 4: Simplify right side
    415,773.88x = 128,976,818,136.91
  5. Step 5: Solve for x
    x = 128,976,818,136.91/415,773.88
  6. Step 6: Final answer
    x = 310,209.04

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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.