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Finding the Fourth Proportional to 279,244.50, 418,470.76 and 116,963.71

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Solution

The fourth proportional to 279,244.50, 418,470.76 and 116,963.71 is: 175,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,244.50 : 418,470.76 = 116,963.71 : x
  2. Step 2: Convert to fraction form
    279,244.50/418,470.76 = 116,963.71/x
  3. Step 3: Cross multiply
    279,244.50x = 418,470.76 × 116,963.71
  4. Step 4: Simplify right side
    279,244.50x = 48,945,892,616.12
  5. Step 5: Solve for x
    x = 48,945,892,616.12/279,244.50
  6. Step 6: Final answer
    x = 175,279.70

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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.