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Finding the Fourth Proportional to 391,429.60, 587,144.40 and 204,416.80

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Solution

The fourth proportional to 391,429.60, 587,144.40 and 204,416.80 is: 306,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,429.60 : 587,144.40 = 204,416.80 : x
  2. Step 2: Convert to fraction form
    391,429.60/587,144.40 = 204,416.80/x
  3. Step 3: Cross multiply
    391,429.60x = 587,144.40 × 204,416.80
  4. Step 4: Simplify right side
    391,429.60x = 120,022,179,385.92
  5. Step 5: Solve for x
    x = 120,022,179,385.92/391,429.60
  6. Step 6: Final answer
    x = 306,625.20

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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.