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Finding the Fourth Proportional to 415,324.20, 573,147.42 and 224,337.60

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Solution

The fourth proportional to 415,324.20, 573,147.42 and 224,337.60 is: 309,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,324.20 : 573,147.42 = 224,337.60 : x
  2. Step 2: Convert to fraction form
    415,324.20/573,147.42 = 224,337.60/x
  3. Step 3: Cross multiply
    415,324.20x = 573,147.42 × 224,337.60
  4. Step 4: Simplify right side
    415,324.20x = 128,578,513,783.26
  5. Step 5: Solve for x
    x = 128,578,513,783.26/415,324.20
  6. Step 6: Final answer
    x = 309,585.89

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