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Finding the Fourth Proportional to 415,943.92, 574,002.60 and 224,957.31

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Solution

The fourth proportional to 415,943.92, 574,002.60 and 224,957.31 is: 310,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,943.92 : 574,002.60 = 224,957.31 : x
  2. Step 2: Convert to fraction form
    415,943.92/574,002.60 = 224,957.31/x
  3. Step 3: Cross multiply
    415,943.92x = 574,002.60 × 224,957.31
  4. Step 4: Simplify right side
    415,943.92x = 129,126,077,396.60
  5. Step 5: Solve for x
    x = 129,126,077,396.60/415,943.92
  6. Step 6: Final answer
    x = 310,441.08

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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.