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Finding the Fourth Proportional to 461,356.14, 636,672.09 and 270,369.38

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Solution

The fourth proportional to 461,356.14, 636,672.09 and 270,369.38 is: 373,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,356.14 : 636,672.09 = 270,369.38 : x
  2. Step 2: Convert to fraction form
    461,356.14/636,672.09 = 270,369.38/x
  3. Step 3: Cross multiply
    461,356.14x = 636,672.09 × 270,369.38
  4. Step 4: Simplify right side
    461,356.14x = 172,136,635,053.24
  5. Step 5: Solve for x
    x = 172,136,635,053.24/461,356.14
  6. Step 6: Final answer
    x = 373,110.10

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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.