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Finding the Fourth Proportional to 394,232.10, 591,024.15 and 169,764.90

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Solution

The fourth proportional to 394,232.10, 591,024.15 and 169,764.90 is: 254,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,232.10 : 591,024.15 = 169,764.90 : x
  2. Step 2: Convert to fraction form
    394,232.10/591,024.15 = 169,764.90/x
  3. Step 3: Cross multiply
    394,232.10x = 591,024.15 × 169,764.90
  4. Step 4: Simplify right side
    394,232.10x = 100,335,155,722.34
  5. Step 5: Solve for x
    x = 100,335,155,722.34/394,232.10
  6. Step 6: Final answer
    x = 254,507.83

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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.