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Finding the Fourth Proportional to 651,937.20, 978,343.20 and 385,414.80

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Solution

The fourth proportional to 651,937.20, 978,343.20 and 385,414.80 is: 578,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,937.20 : 978,343.20 = 385,414.80 : x
  2. Step 2: Convert to fraction form
    651,937.20/978,343.20 = 385,414.80/x
  3. Step 3: Cross multiply
    651,937.20x = 978,343.20 × 385,414.80
  4. Step 4: Simplify right side
    651,937.20x = 377,067,948,759.36
  5. Step 5: Solve for x
    x = 377,067,948,759.36/651,937.20
  6. Step 6: Final answer
    x = 578,380.78

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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.