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Finding the Fourth Proportional to 391,012.70, 587,231.85 and 342,023.90

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Solution

The fourth proportional to 391,012.70, 587,231.85 and 342,023.90 is: 513,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,012.70 : 587,231.85 = 342,023.90 : x
  2. Step 2: Convert to fraction form
    391,012.70/587,231.85 = 342,023.90/x
  3. Step 3: Cross multiply
    391,012.70x = 587,231.85 × 342,023.90
  4. Step 4: Simplify right side
    391,012.70x = 200,847,327,541.22
  5. Step 5: Solve for x
    x = 200,847,327,541.22/391,012.70
  6. Step 6: Final answer
    x = 513,659.35

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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.