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Finding the Fourth Proportional to 331,682.31, 457,591.68 and 204,136.47

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Solution

The fourth proportional to 331,682.31, 457,591.68 and 204,136.47 is: 281,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,682.31 : 457,591.68 = 204,136.47 : x
  2. Step 2: Convert to fraction form
    331,682.31/457,591.68 = 204,136.47/x
  3. Step 3: Cross multiply
    331,682.31x = 457,591.68 × 204,136.47
  4. Step 4: Simplify right side
    331,682.31x = 93,411,150,256.57
  5. Step 5: Solve for x
    x = 93,411,150,256.57/331,682.31
  6. Step 6: Final answer
    x = 281,628.38

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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.