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Finding the Fourth Proportional to 283,499.38, 391,202.22 and 162,650.62

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Solution

The fourth proportional to 283,499.38, 391,202.22 and 162,650.62 is: 224,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,499.38 : 391,202.22 = 162,650.62 : x
  2. Step 2: Convert to fraction form
    283,499.38/391,202.22 = 162,650.62/x
  3. Step 3: Cross multiply
    283,499.38x = 391,202.22 × 162,650.62
  4. Step 4: Simplify right side
    283,499.38x = 63,629,283,628.38
  5. Step 5: Solve for x
    x = 63,629,283,628.38/283,499.38
  6. Step 6: Final answer
    x = 224,442.41

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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.