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Finding the Fourth Proportional to 461,067, 636,291.90 and 259,863

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Solution

The fourth proportional to 461,067, 636,291.90 and 259,863 is: 358,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,067 : 636,291.90 = 259,863 : x
  2. Step 2: Convert to fraction form
    461,067/636,291.90 = 259,863/x
  3. Step 3: Cross multiply
    461,067x = 636,291.90 × 259,863
  4. Step 4: Simplify right side
    461,067x = 165,348,722,009.70
  5. Step 5: Solve for x
    x = 165,348,722,009.70/461,067
  6. Step 6: Final answer
    x = 358,621.90

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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.