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Finding the Fourth Proportional to 391,452.70, 587,409.45 and 142,102.30

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Solution

The fourth proportional to 391,452.70, 587,409.45 and 142,102.30 is: 213,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,452.70 : 587,409.45 = 142,102.30 : x
  2. Step 2: Convert to fraction form
    391,452.70/587,409.45 = 142,102.30/x
  3. Step 3: Cross multiply
    391,452.70x = 587,409.45 × 142,102.30
  4. Step 4: Simplify right side
    391,452.70x = 83,472,233,886.74
  5. Step 5: Solve for x
    x = 83,472,233,886.74/391,452.70
  6. Step 6: Final answer
    x = 213,237.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.