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Finding the Fourth Proportional to 394,051.24, 591,159.90 and 127,791

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Solution

The fourth proportional to 394,051.24, 591,159.90 and 127,791 is: 191,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,051.24 : 591,159.90 = 127,791 : x
  2. Step 2: Convert to fraction form
    394,051.24/591,159.90 = 127,791/x
  3. Step 3: Cross multiply
    394,051.24x = 591,159.90 × 127,791
  4. Step 4: Simplify right side
    394,051.24x = 75,544,914,780.90
  5. Step 5: Solve for x
    x = 75,544,914,780.90/394,051.24
  6. Step 6: Final answer
    x = 191,713.43

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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.