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Finding the Fourth Proportional to 394,097.64, 591,229.44 and 127,837.44

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Solution

The fourth proportional to 394,097.64, 591,229.44 and 127,837.44 is: 191,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,097.64 : 591,229.44 = 127,837.44 : x
  2. Step 2: Convert to fraction form
    394,097.64/591,229.44 = 127,837.44/x
  3. Step 3: Cross multiply
    394,097.64x = 591,229.44 × 127,837.44
  4. Step 4: Simplify right side
    394,097.64x = 75,581,258,062.23
  5. Step 5: Solve for x
    x = 75,581,258,062.23/394,097.64
  6. Step 6: Final answer
    x = 191,783.08

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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.