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Finding the Fourth Proportional to 493,982.38, 681,699 and 267,627.88

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Solution

The fourth proportional to 493,982.38, 681,699 and 267,627.88 is: 369,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,982.38 : 681,699 = 267,627.88 : x
  2. Step 2: Convert to fraction form
    493,982.38/681,699 = 267,627.88/x
  3. Step 3: Cross multiply
    493,982.38x = 681,699 × 267,627.88
  4. Step 4: Simplify right side
    493,982.38x = 182,441,658,168.12
  5. Step 5: Solve for x
    x = 182,441,658,168.12/493,982.38
  6. Step 6: Final answer
    x = 369,328.27

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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.