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Finding the Fourth Proportional to 394,411.60, 591,617.40 and 113,957.20

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Solution

The fourth proportional to 394,411.60, 591,617.40 and 113,957.20 is: 170,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,411.60 : 591,617.40 = 113,957.20 : x
  2. Step 2: Convert to fraction form
    394,411.60/591,617.40 = 113,957.20/x
  3. Step 3: Cross multiply
    394,411.60x = 591,617.40 × 113,957.20
  4. Step 4: Simplify right side
    394,411.60x = 67,419,062,375.28
  5. Step 5: Solve for x
    x = 67,419,062,375.28/394,411.60
  6. Step 6: Final answer
    x = 170,935.80

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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.