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Finding the Fourth Proportional to 274,687.54, 411,293.05 and 174,304.24

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Solution

The fourth proportional to 274,687.54, 411,293.05 and 174,304.24 is: 260,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,687.54 : 411,293.05 = 174,304.24 : x
  2. Step 2: Convert to fraction form
    274,687.54/411,293.05 = 174,304.24/x
  3. Step 3: Cross multiply
    274,687.54x = 411,293.05 × 174,304.24
  4. Step 4: Simplify right side
    274,687.54x = 71,690,122,497.53
  5. Step 5: Solve for x
    x = 71,690,122,497.53/274,687.54
  6. Step 6: Final answer
    x = 260,987.89

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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.