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Finding the Fourth Proportional to 408,857, 613,291.02 and 128,374.28

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Solution

The fourth proportional to 408,857, 613,291.02 and 128,374.28 is: 192,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857 : 613,291.02 = 128,374.28 : x
  2. Step 2: Convert to fraction form
    408,857/613,291.02 = 128,374.28/x
  3. Step 3: Cross multiply
    408,857x = 613,291.02 × 128,374.28
  4. Step 4: Simplify right side
    408,857x = 78,730,793,122.97
  5. Step 5: Solve for x
    x = 78,730,793,122.97/408,857
  6. Step 6: Final answer
    x = 192,563.15

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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.