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Finding the Fourth Proportional to 394,178.40, 591,121.80 and 127,947.60

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Solution

The fourth proportional to 394,178.40, 591,121.80 and 127,947.60 is: 191,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,178.40 : 591,121.80 = 127,947.60 : x
  2. Step 2: Convert to fraction form
    394,178.40/591,121.80 = 127,947.60/x
  3. Step 3: Cross multiply
    394,178.40x = 591,121.80 × 127,947.60
  4. Step 4: Simplify right side
    394,178.40x = 75,632,615,617.68
  5. Step 5: Solve for x
    x = 75,632,615,617.68/394,178.40
  6. Step 6: Final answer
    x = 191,874.07

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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.