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Finding the Fourth Proportional to 491,115.40, 735,981.90 and 363,761.80

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Solution

The fourth proportional to 491,115.40, 735,981.90 and 363,761.80 is: 545,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,115.40 : 735,981.90 = 363,761.80 : x
  2. Step 2: Convert to fraction form
    491,115.40/735,981.90 = 363,761.80/x
  3. Step 3: Cross multiply
    491,115.40x = 735,981.90 × 363,761.80
  4. Step 4: Simplify right side
    491,115.40x = 267,722,100,711.42
  5. Step 5: Solve for x
    x = 267,722,100,711.42/491,115.40
  6. Step 6: Final answer
    x = 545,130.74

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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.