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Finding the Fourth Proportional to 461,061, 636,283.62 and 259,857

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Solution

The fourth proportional to 461,061, 636,283.62 and 259,857 is: 358,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,061 : 636,283.62 = 259,857 : x
  2. Step 2: Convert to fraction form
    461,061/636,283.62 = 259,857/x
  3. Step 3: Cross multiply
    461,061x = 636,283.62 × 259,857
  4. Step 4: Simplify right side
    461,061x = 165,342,752,642.34
  5. Step 5: Solve for x
    x = 165,342,752,642.34/461,061
  6. Step 6: Final answer
    x = 358,613.62

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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.