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Finding the Fourth Proportional to 402,584.19, 603,950.21 and 132,728.24

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Solution

The fourth proportional to 402,584.19, 603,950.21 and 132,728.24 is: 199,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,584.19 : 603,950.21 = 132,728.24 : x
  2. Step 2: Convert to fraction form
    402,584.19/603,950.21 = 132,728.24/x
  3. Step 3: Cross multiply
    402,584.19x = 603,950.21 × 132,728.24
  4. Step 4: Simplify right side
    402,584.19x = 80,161,244,737.54
  5. Step 5: Solve for x
    x = 80,161,244,737.54/402,584.19
  6. Step 6: Final answer
    x = 199,116.72

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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.