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Finding the Fourth Proportional to 283,866.14, 391,717.35 and 162,922.29

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Solution

The fourth proportional to 283,866.14, 391,717.35 and 162,922.29 is: 224,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,866.14 : 391,717.35 = 162,922.29 : x
  2. Step 2: Convert to fraction form
    283,866.14/391,717.35 = 162,922.29/x
  3. Step 3: Cross multiply
    283,866.14x = 391,717.35 × 162,922.29
  4. Step 4: Simplify right side
    283,866.14x = 63,819,487,694.73
  5. Step 5: Solve for x
    x = 63,819,487,694.73/283,866.14
  6. Step 6: Final answer
    x = 224,822.48

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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.