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Finding the Fourth Proportional to 415,472.52, 623,011.14 and 215,592.60

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Solution

The fourth proportional to 415,472.52, 623,011.14 and 215,592.60 is: 323,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,472.52 : 623,011.14 = 215,592.60 : x
  2. Step 2: Convert to fraction form
    415,472.52/623,011.14 = 215,592.60/x
  3. Step 3: Cross multiply
    415,472.52x = 623,011.14 × 215,592.60
  4. Step 4: Simplify right side
    415,472.52x = 134,316,591,501.56
  5. Step 5: Solve for x
    x = 134,316,591,501.56/415,472.52
  6. Step 6: Final answer
    x = 323,286.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.