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Finding the Fourth Proportional to 391,223.20, 587,223.60 and 191,768.80

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Solution

The fourth proportional to 391,223.20, 587,223.60 and 191,768.80 is: 287,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,223.20 : 587,223.60 = 191,768.80 : x
  2. Step 2: Convert to fraction form
    391,223.20/587,223.60 = 191,768.80/x
  3. Step 3: Cross multiply
    391,223.20x = 587,223.60 × 191,768.80
  4. Step 4: Simplify right side
    391,223.20x = 112,611,165,103.68
  5. Step 5: Solve for x
    x = 112,611,165,103.68/391,223.20
  6. Step 6: Final answer
    x = 287,843.78

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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.