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Finding the Fourth Proportional to 299,212.67, 412,929.29 and 171,896.47

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Solution

The fourth proportional to 299,212.67, 412,929.29 and 171,896.47 is: 237,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.67 : 412,929.29 = 171,896.47 : x
  2. Step 2: Convert to fraction form
    299,212.67/412,929.29 = 171,896.47/x
  3. Step 3: Cross multiply
    299,212.67x = 412,929.29 × 171,896.47
  4. Step 4: Simplify right side
    299,212.67x = 70,981,087,310.61
  5. Step 5: Solve for x
    x = 70,981,087,310.61/299,212.67
  6. Step 6: Final answer
    x = 237,226.21

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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.