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Finding the Fourth Proportional to 391,046.60, 586,424.10 and 154,340.30

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Solution

The fourth proportional to 391,046.60, 586,424.10 and 154,340.30 is: 231,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,046.60 : 586,424.10 = 154,340.30 : x
  2. Step 2: Convert to fraction form
    391,046.60/586,424.10 = 154,340.30/x
  3. Step 3: Cross multiply
    391,046.60x = 586,424.10 × 154,340.30
  4. Step 4: Simplify right side
    391,046.60x = 90,508,871,521.23
  5. Step 5: Solve for x
    x = 90,508,871,521.23/391,046.60
  6. Step 6: Final answer
    x = 231,452.90

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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.