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Finding the Fourth Proportional to 391,486.20, 587,459.70 and 142,193.40

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Solution

The fourth proportional to 391,486.20, 587,459.70 and 142,193.40 is: 213,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,486.20 : 587,459.70 = 142,193.40 : x
  2. Step 2: Convert to fraction form
    391,486.20/587,459.70 = 142,193.40/x
  3. Step 3: Cross multiply
    391,486.20x = 587,459.70 × 142,193.40
  4. Step 4: Simplify right side
    391,486.20x = 83,532,892,105.98
  5. Step 5: Solve for x
    x = 83,532,892,105.98/391,486.20
  6. Step 6: Final answer
    x = 213,373.78

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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.