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Finding the Fourth Proportional to 391,204.20, 587,195.10 and 191,749.80

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Solution

The fourth proportional to 391,204.20, 587,195.10 and 191,749.80 is: 287,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,204.20 : 587,195.10 = 191,749.80 : x
  2. Step 2: Convert to fraction form
    391,204.20/587,195.10 = 191,749.80/x
  3. Step 3: Cross multiply
    391,204.20x = 587,195.10 × 191,749.80
  4. Step 4: Simplify right side
    391,204.20x = 112,594,542,985.98
  5. Step 5: Solve for x
    x = 112,594,542,985.98/391,204.20
  6. Step 6: Final answer
    x = 287,815.27

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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.