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Finding the Fourth Proportional to 394,006.80, 591,061.28 and 180,723.27

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Solution

The fourth proportional to 394,006.80, 591,061.28 and 180,723.27 is: 271,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,006.80 : 591,061.28 = 180,723.27 : x
  2. Step 2: Convert to fraction form
    394,006.80/591,061.28 = 180,723.27/x
  3. Step 3: Cross multiply
    394,006.80x = 591,061.28 × 180,723.27
  4. Step 4: Simplify right side
    394,006.80x = 106,818,526,388.37
  5. Step 5: Solve for x
    x = 106,818,526,388.37/394,006.80
  6. Step 6: Final answer
    x = 271,108.33

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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.