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Finding the Fourth Proportional to 461,166, 636,418.80 and 259,962

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Solution

The fourth proportional to 461,166, 636,418.80 and 259,962 is: 358,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,166 : 636,418.80 = 259,962 : x
  2. Step 2: Convert to fraction form
    461,166/636,418.80 = 259,962/x
  3. Step 3: Cross multiply
    461,166x = 636,418.80 × 259,962
  4. Step 4: Simplify right side
    461,166x = 165,444,704,085.60
  5. Step 5: Solve for x
    x = 165,444,704,085.60/461,166
  6. Step 6: Final answer
    x = 358,753.04

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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.