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Finding the Fourth Proportional to 391,630.80, 587,446.20 and 312,898.80

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Solution

The fourth proportional to 391,630.80, 587,446.20 and 312,898.80 is: 469,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,630.80 : 587,446.20 = 312,898.80 : x
  2. Step 2: Convert to fraction form
    391,630.80/587,446.20 = 312,898.80/x
  3. Step 3: Cross multiply
    391,630.80x = 587,446.20 × 312,898.80
  4. Step 4: Simplify right side
    391,630.80x = 183,811,211,044.56
  5. Step 5: Solve for x
    x = 183,811,211,044.56/391,630.80
  6. Step 6: Final answer
    x = 469,348.20

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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.