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Finding the Fourth Proportional to 461,175.50, 636,422.20 and 259,971.50

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Solution

The fourth proportional to 461,175.50, 636,422.20 and 259,971.50 is: 358,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,175.50 : 636,422.20 = 259,971.50 : x
  2. Step 2: Convert to fraction form
    461,175.50/636,422.20 = 259,971.50/x
  3. Step 3: Cross multiply
    461,175.50x = 636,422.20 × 259,971.50
  4. Step 4: Simplify right side
    461,175.50x = 165,451,633,967.30
  5. Step 5: Solve for x
    x = 165,451,633,967.30/461,175.50
  6. Step 6: Final answer
    x = 358,760.68

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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.