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Finding the Fourth Proportional to 394,038, 591,140.10 and 127,777.82

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Solution

The fourth proportional to 394,038, 591,140.10 and 127,777.82 is: 191,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,038 : 591,140.10 = 127,777.82 : x
  2. Step 2: Convert to fraction form
    394,038/591,140.10 = 127,777.82/x
  3. Step 3: Cross multiply
    394,038x = 591,140.10 × 127,777.82
  4. Step 4: Simplify right side
    394,038x = 75,534,593,292.58
  5. Step 5: Solve for x
    x = 75,534,593,292.58/394,038
  6. Step 6: Final answer
    x = 191,693.68

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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.