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Finding the Fourth Proportional to 274,462.73, 411,940.11 and 229,763.87

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Solution

The fourth proportional to 274,462.73, 411,940.11 and 229,763.87 is: 344,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,462.73 : 411,940.11 = 229,763.87 : x
  2. Step 2: Convert to fraction form
    274,462.73/411,940.11 = 229,763.87/x
  3. Step 3: Cross multiply
    274,462.73x = 411,940.11 × 229,763.87
  4. Step 4: Simplify right side
    274,462.73x = 94,648,951,822.13
  5. Step 5: Solve for x
    x = 94,648,951,822.13/274,462.73
  6. Step 6: Final answer
    x = 344,851.75

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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.