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Finding the Fourth Proportional to 391,022.53, 586,544.75 and 138,267.29

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Solution

The fourth proportional to 391,022.53, 586,544.75 and 138,267.29 is: 207,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,022.53 : 586,544.75 = 138,267.29 : x
  2. Step 2: Convert to fraction form
    391,022.53/586,544.75 = 138,267.29/x
  3. Step 3: Cross multiply
    391,022.53x = 586,544.75 × 138,267.29
  4. Step 4: Simplify right side
    391,022.53x = 81,099,953,046.23
  5. Step 5: Solve for x
    x = 81,099,953,046.23/391,022.53
  6. Step 6: Final answer
    x = 207,404.81

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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.