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Finding the Fourth Proportional to 298,896.62, 412,469.09 and 162,933.21

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Solution

The fourth proportional to 298,896.62, 412,469.09 and 162,933.21 is: 224,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,896.62 : 412,469.09 = 162,933.21 : x
  2. Step 2: Convert to fraction form
    298,896.62/412,469.09 = 162,933.21/x
  3. Step 3: Cross multiply
    298,896.62x = 412,469.09 × 162,933.21
  4. Step 4: Simplify right side
    298,896.62x = 67,204,912,044.81
  5. Step 5: Solve for x
    x = 67,204,912,044.81/298,896.62
  6. Step 6: Final answer
    x = 224,843.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.