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Finding the Fourth Proportional to 494,175.84, 681,963.84 and 267,821.28

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Solution

The fourth proportional to 494,175.84, 681,963.84 and 267,821.28 is: 369,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,175.84 : 681,963.84 = 267,821.28 : x
  2. Step 2: Convert to fraction form
    494,175.84/681,963.84 = 267,821.28/x
  3. Step 3: Cross multiply
    494,175.84x = 681,963.84 × 267,821.28
  4. Step 4: Simplify right side
    494,175.84x = 182,644,428,542.52
  5. Step 5: Solve for x
    x = 182,644,428,542.52/494,175.84
  6. Step 6: Final answer
    x = 369,594.01

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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.