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Finding the Fourth Proportional to 274,462.65, 411,694.44 and 180,287.70

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Solution

The fourth proportional to 274,462.65, 411,694.44 and 180,287.70 is: 270,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,462.65 : 411,694.44 = 180,287.70 : x
  2. Step 2: Convert to fraction form
    274,462.65/411,694.44 = 180,287.70/x
  3. Step 3: Cross multiply
    274,462.65x = 411,694.44 × 180,287.70
  4. Step 4: Simplify right side
    274,462.65x = 74,223,443,690.39
  5. Step 5: Solve for x
    x = 74,223,443,690.39/274,462.65
  6. Step 6: Final answer
    x = 270,431.86

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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.