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Finding the Fourth Proportional to 494,012.30, 681,737.05 and 267,657.80

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Solution

The fourth proportional to 494,012.30, 681,737.05 and 267,657.80 is: 369,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,012.30 : 681,737.05 = 267,657.80 : x
  2. Step 2: Convert to fraction form
    494,012.30/681,737.05 = 267,657.80/x
  3. Step 3: Cross multiply
    494,012.30x = 681,737.05 × 267,657.80
  4. Step 4: Simplify right side
    494,012.30x = 182,472,238,981.49
  5. Step 5: Solve for x
    x = 182,472,238,981.49/494,012.30
  6. Step 6: Final answer
    x = 369,367.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.