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Finding the Fourth Proportional to 534,481.62, 801,759.84 and 214,633.47

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Solution

The fourth proportional to 534,481.62, 801,759.84 and 214,633.47 is: 321,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,481.62 : 801,759.84 = 214,633.47 : x
  2. Step 2: Convert to fraction form
    534,481.62/801,759.84 = 214,633.47/x
  3. Step 3: Cross multiply
    534,481.62x = 801,759.84 × 214,633.47
  4. Step 4: Simplify right side
    534,481.62x = 172,084,500,377.32
  5. Step 5: Solve for x
    x = 172,084,500,377.32/534,481.62
  6. Step 6: Final answer
    x = 321,965.24

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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.