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Finding the Fourth Proportional to 396,414.48, 547,078.95 and 224,332.56

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Solution

The fourth proportional to 396,414.48, 547,078.95 and 224,332.56 is: 309,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,414.48 : 547,078.95 = 224,332.56 : x
  2. Step 2: Convert to fraction form
    396,414.48/547,078.95 = 224,332.56/x
  3. Step 3: Cross multiply
    396,414.48x = 547,078.95 × 224,332.56
  4. Step 4: Simplify right side
    396,414.48x = 122,727,621,375.61
  5. Step 5: Solve for x
    x = 122,727,621,375.61/396,414.48
  6. Step 6: Final answer
    x = 309,594.19

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1.5x scale

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.