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Finding the Fourth Proportional to 541,900.80, 813,375.84 and 261,614.72

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Solution

The fourth proportional to 541,900.80, 813,375.84 and 261,614.72 is: 392,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,900.80 : 813,375.84 = 261,614.72 : x
  2. Step 2: Convert to fraction form
    541,900.80/813,375.84 = 261,614.72/x
  3. Step 3: Cross multiply
    541,900.80x = 813,375.84 × 261,614.72
  4. Step 4: Simplify right side
    541,900.80x = 212,791,092,636.37
  5. Step 5: Solve for x
    x = 212,791,092,636.37/541,900.80
  6. Step 6: Final answer
    x = 392,675.36

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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.