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Finding the Fourth Proportional to 667,082.28, 920,573.74 and 361,158.60

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Solution

The fourth proportional to 667,082.28, 920,573.74 and 361,158.60 is: 498,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,082.28 : 920,573.74 = 361,158.60 : x
  2. Step 2: Convert to fraction form
    667,082.28/920,573.74 = 361,158.60/x
  3. Step 3: Cross multiply
    667,082.28x = 920,573.74 × 361,158.60
  4. Step 4: Simplify right side
    667,082.28x = 332,473,123,135.16
  5. Step 5: Solve for x
    x = 332,473,123,135.16/667,082.28
  6. Step 6: Final answer
    x = 498,398.97

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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.