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Finding the Fourth Proportional to 394,077.81, 591,199.79 and 127,817.62

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Solution

The fourth proportional to 394,077.81, 591,199.79 and 127,817.62 is: 191,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,077.81 : 591,199.79 = 127,817.62 : x
  2. Step 2: Convert to fraction form
    394,077.81/591,199.79 = 127,817.62/x
  3. Step 3: Cross multiply
    394,077.81x = 591,199.79 × 127,817.62
  4. Step 4: Simplify right side
    394,077.81x = 75,565,750,007.45
  5. Step 5: Solve for x
    x = 75,565,750,007.45/394,077.81
  6. Step 6: Final answer
    x = 191,753.38

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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.