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Finding the Fourth Proportional to 396,463.32, 547,123.32 and 215,176.86

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Solution

The fourth proportional to 396,463.32, 547,123.32 and 215,176.86 is: 296,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,463.32 : 547,123.32 = 215,176.86 : x
  2. Step 2: Convert to fraction form
    396,463.32/547,123.32 = 215,176.86/x
  3. Step 3: Cross multiply
    396,463.32x = 547,123.32 × 215,176.86
  4. Step 4: Simplify right side
    396,463.32x = 117,728,278,030.38
  5. Step 5: Solve for x
    x = 117,728,278,030.38/396,463.32
  6. Step 6: Final answer
    x = 296,946.20

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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.