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Finding the Fourth Proportional to 415,943.96, 574,002.66 and 224,957.35

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Solution

The fourth proportional to 415,943.96, 574,002.66 and 224,957.35 is: 310,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,943.96 : 574,002.66 = 224,957.35 : x
  2. Step 2: Convert to fraction form
    415,943.96/574,002.66 = 224,957.35/x
  3. Step 3: Cross multiply
    415,943.96x = 574,002.66 × 224,957.35
  4. Step 4: Simplify right side
    415,943.96x = 129,126,117,286.55
  5. Step 5: Solve for x
    x = 129,126,117,286.55/415,943.96
  6. Step 6: Final answer
    x = 310,441.14

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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.