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Finding the Fourth Proportional to 394,474.60, 591,711.90 and 114,020.20

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Solution

The fourth proportional to 394,474.60, 591,711.90 and 114,020.20 is: 171,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,474.60 : 591,711.90 = 114,020.20 : x
  2. Step 2: Convert to fraction form
    394,474.60/591,711.90 = 114,020.20/x
  3. Step 3: Cross multiply
    394,474.60x = 591,711.90 × 114,020.20
  4. Step 4: Simplify right side
    394,474.60x = 67,467,109,180.38
  5. Step 5: Solve for x
    x = 67,467,109,180.38/394,474.60
  6. Step 6: Final answer
    x = 171,030.30

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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.