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Finding the Fourth Proportional to 274,624.20, 411,629.10 and 116,825.80

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Solution

The fourth proportional to 274,624.20, 411,629.10 and 116,825.80 is: 175,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,624.20 : 411,629.10 = 116,825.80 : x
  2. Step 2: Convert to fraction form
    274,624.20/411,629.10 = 116,825.80/x
  3. Step 3: Cross multiply
    274,624.20x = 411,629.10 × 116,825.80
  4. Step 4: Simplify right side
    274,624.20x = 48,088,898,910.78
  5. Step 5: Solve for x
    x = 48,088,898,910.78/274,624.20
  6. Step 6: Final answer
    x = 175,108.02

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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.