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Finding the Fourth Proportional to 394,200.90, 591,447.15 and 127,970.10

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Solution

The fourth proportional to 394,200.90, 591,447.15 and 127,970.10 is: 192,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,200.90 : 591,447.15 = 127,970.10 : x
  2. Step 2: Convert to fraction form
    394,200.90/591,447.15 = 127,970.10/x
  3. Step 3: Cross multiply
    394,200.90x = 591,447.15 × 127,970.10
  4. Step 4: Simplify right side
    394,200.90x = 75,687,550,930.22
  5. Step 5: Solve for x
    x = 75,687,550,930.22/394,200.90
  6. Step 6: Final answer
    x = 192,002.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.