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Finding the Fourth Proportional to 283,879.38, 391,346.43 and 223,344.90

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Solution

The fourth proportional to 283,879.38, 391,346.43 and 223,344.90 is: 307,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,879.38 : 391,346.43 = 223,344.90 : x
  2. Step 2: Convert to fraction form
    283,879.38/391,346.43 = 223,344.90/x
  3. Step 3: Cross multiply
    283,879.38x = 391,346.43 × 223,344.90
  4. Step 4: Simplify right side
    283,879.38x = 87,405,229,273.71
  5. Step 5: Solve for x
    x = 87,405,229,273.71/283,879.38
  6. Step 6: Final answer
    x = 307,895.66

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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.