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Finding the Fourth Proportional to 274,115.50, 411,233.73 and 116,478.70

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Solution

The fourth proportional to 274,115.50, 411,233.73 and 116,478.70 is: 174,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,115.50 : 411,233.73 = 116,478.70 : x
  2. Step 2: Convert to fraction form
    274,115.50/411,233.73 = 116,478.70/x
  3. Step 3: Cross multiply
    274,115.50x = 411,233.73 × 116,478.70
  4. Step 4: Simplify right side
    274,115.50x = 47,899,970,266.55
  5. Step 5: Solve for x
    x = 47,899,970,266.55/274,115.50
  6. Step 6: Final answer
    x = 174,743.75

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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.