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Finding the Fourth Proportional to 283,500.38, 391,203.60 and 162,651.62

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Solution

The fourth proportional to 283,500.38, 391,203.60 and 162,651.62 is: 224,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,500.38 : 391,203.60 = 162,651.62 : x
  2. Step 2: Convert to fraction form
    283,500.38/391,203.60 = 162,651.62/x
  3. Step 3: Cross multiply
    283,500.38x = 391,203.60 × 162,651.62
  4. Step 4: Simplify right side
    283,500.38x = 63,629,899,289.83
  5. Step 5: Solve for x
    x = 63,629,899,289.83/283,500.38
  6. Step 6: Final answer
    x = 224,443.79

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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.