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Finding the Fourth Proportional to 494,136.48, 681,908.28 and 267,782

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Solution

The fourth proportional to 494,136.48, 681,908.28 and 267,782 is: 369,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,136.48 : 681,908.28 = 267,782 : x
  2. Step 2: Convert to fraction form
    494,136.48/681,908.28 = 267,782/x
  3. Step 3: Cross multiply
    494,136.48x = 681,908.28 × 267,782
  4. Step 4: Simplify right side
    494,136.48x = 182,602,763,034.96
  5. Step 5: Solve for x
    x = 182,602,763,034.96/494,136.48
  6. Step 6: Final answer
    x = 369,539.13

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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.