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Finding the Fourth Proportional to 402,744.56, 604,149.64 and 132,923.43

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Solution

The fourth proportional to 402,744.56, 604,149.64 and 132,923.43 is: 199,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,744.56 : 604,149.64 = 132,923.43 : x
  2. Step 2: Convert to fraction form
    402,744.56/604,149.64 = 132,923.43/x
  3. Step 3: Cross multiply
    402,744.56x = 604,149.64 × 132,923.43
  4. Step 4: Simplify right side
    402,744.56x = 80,305,642,049.76
  5. Step 5: Solve for x
    x = 80,305,642,049.76/402,744.56
  6. Step 6: Final answer
    x = 199,395.97

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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.