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Finding the Fourth Proportional to 494,114.38, 681,878.73 and 267,759.88

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Solution

The fourth proportional to 494,114.38, 681,878.73 and 267,759.88 is: 369,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,114.38 : 681,878.73 = 267,759.88 : x
  2. Step 2: Convert to fraction form
    494,114.38/681,878.73 = 267,759.88/x
  3. Step 3: Cross multiply
    494,114.38x = 681,878.73 × 267,759.88
  4. Step 4: Simplify right side
    494,114.38x = 182,579,766,919.35
  5. Step 5: Solve for x
    x = 182,579,766,919.35/494,114.38
  6. Step 6: Final answer
    x = 369,509.11

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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.