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Finding the Fourth Proportional to 382,759.22, 574,221.80 and 116,512.78

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Solution

The fourth proportional to 382,759.22, 574,221.80 and 116,512.78 is: 174,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,759.22 : 574,221.80 = 116,512.78 : x
  2. Step 2: Convert to fraction form
    382,759.22/574,221.80 = 116,512.78/x
  3. Step 3: Cross multiply
    382,759.22x = 574,221.80 × 116,512.78
  4. Step 4: Simplify right side
    382,759.22x = 66,904,177,110.33
  5. Step 5: Solve for x
    x = 66,904,177,110.33/382,759.22
  6. Step 6: Final answer
    x = 174,794.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.