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Finding the Fourth Proportional to 461,063.75, 636,287.42 and 259,859.75

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Solution

The fourth proportional to 461,063.75, 636,287.42 and 259,859.75 is: 358,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,063.75 : 636,287.42 = 259,859.75 : x
  2. Step 2: Convert to fraction form
    461,063.75/636,287.42 = 259,859.75/x
  3. Step 3: Cross multiply
    461,063.75x = 636,287.42 × 259,859.75
  4. Step 4: Simplify right side
    461,063.75x = 165,345,489,889.35
  5. Step 5: Solve for x
    x = 165,345,489,889.35/461,063.75
  6. Step 6: Final answer
    x = 358,617.41

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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.