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Finding the Fourth Proportional to 396,459.76, 547,114.24 and 224,374.56

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Solution

The fourth proportional to 396,459.76, 547,114.24 and 224,374.56 is: 309,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,459.76 : 547,114.24 = 224,374.56 : x
  2. Step 2: Convert to fraction form
    396,459.76/547,114.24 = 224,374.56/x
  3. Step 3: Cross multiply
    396,459.76x = 547,114.24 × 224,374.56
  4. Step 4: Simplify right side
    396,459.76x = 122,758,516,869.73
  5. Step 5: Solve for x
    x = 122,758,516,869.73/396,459.76
  6. Step 6: Final answer
    x = 309,636.76

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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.