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Finding the Fourth Proportional to 394,007.60, 591,052.44 and 127,757.36

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Solution

The fourth proportional to 394,007.60, 591,052.44 and 127,757.36 is: 191,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,007.60 : 591,052.44 = 127,757.36 : x
  2. Step 2: Convert to fraction form
    394,007.60/591,052.44 = 127,757.36/x
  3. Step 3: Cross multiply
    394,007.60x = 591,052.44 × 127,757.36
  4. Step 4: Simplify right side
    394,007.60x = 75,511,299,355.96
  5. Step 5: Solve for x
    x = 75,511,299,355.96/394,007.60
  6. Step 6: Final answer
    x = 191,649.35

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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.