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Finding the Fourth Proportional to 274,326.47, 411,404.28 and 96,791.88

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Solution

The fourth proportional to 274,326.47, 411,404.28 and 96,791.88 is: 145,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,326.47 : 411,404.28 = 96,791.88 : x
  2. Step 2: Convert to fraction form
    274,326.47/411,404.28 = 96,791.88/x
  3. Step 3: Cross multiply
    274,326.47x = 411,404.28 × 96,791.88
  4. Step 4: Simplify right side
    274,326.47x = 39,820,593,701.25
  5. Step 5: Solve for x
    x = 39,820,593,701.25/274,326.47
  6. Step 6: Final answer
    x = 145,157.68

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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.