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Finding the Fourth Proportional to 269,795.70, 405,049.95 and 216,517.14

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Solution

The fourth proportional to 269,795.70, 405,049.95 and 216,517.14 is: 325,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,795.70 : 405,049.95 = 216,517.14 : x
  2. Step 2: Convert to fraction form
    269,795.70/405,049.95 = 216,517.14/x
  3. Step 3: Cross multiply
    269,795.70x = 405,049.95 × 216,517.14
  4. Step 4: Simplify right side
    269,795.70x = 87,700,256,731.14
  5. Step 5: Solve for x
    x = 87,700,256,731.14/269,795.70
  6. Step 6: Final answer
    x = 325,061.73

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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.