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Finding the Fourth Proportional to 299,213.67, 412,930.68 and 171,897.48

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Solution

The fourth proportional to 299,213.67, 412,930.68 and 171,897.48 is: 237,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213.67 : 412,930.68 = 171,897.48 : x
  2. Step 2: Convert to fraction form
    299,213.67/412,930.68 = 171,897.48/x
  3. Step 3: Cross multiply
    299,213.67x = 412,930.68 × 171,897.48
  4. Step 4: Simplify right side
    299,213.67x = 70,981,743,306.69
  5. Step 5: Solve for x
    x = 70,981,743,306.69/299,213.67
  6. Step 6: Final answer
    x = 237,227.61

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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.