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Finding the Fourth Proportional to 461,061.38, 636,284.14 and 259,857.38

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Solution

The fourth proportional to 461,061.38, 636,284.14 and 259,857.38 is: 358,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,061.38 : 636,284.14 = 259,857.38 : x
  2. Step 2: Convert to fraction form
    461,061.38/636,284.14 = 259,857.38/x
  3. Step 3: Cross multiply
    461,061.38x = 636,284.14 × 259,857.38
  4. Step 4: Simplify right side
    461,061.38x = 165,343,125,724.89
  5. Step 5: Solve for x
    x = 165,343,125,724.89/461,061.38
  6. Step 6: Final answer
    x = 358,614.13

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1.5x scale

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.