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Finding the Fourth Proportional to 274,634.30, 411,951.45 and 116,867.90

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Solution

The fourth proportional to 274,634.30, 411,951.45 and 116,867.90 is: 175,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,634.30 : 411,951.45 = 116,867.90 : x
  2. Step 2: Convert to fraction form
    274,634.30/411,951.45 = 116,867.90/x
  3. Step 3: Cross multiply
    274,634.30x = 411,951.45 × 116,867.90
  4. Step 4: Simplify right side
    274,634.30x = 48,143,900,863.46
  5. Step 5: Solve for x
    x = 48,143,900,863.46/274,634.30
  6. Step 6: Final answer
    x = 175,301.85

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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.