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Finding the Fourth Proportional to 422,298.24, 582,780.96 and 241,006.56

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Solution

The fourth proportional to 422,298.24, 582,780.96 and 241,006.56 is: 332,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,298.24 : 582,780.96 = 241,006.56 : x
  2. Step 2: Convert to fraction form
    422,298.24/582,780.96 = 241,006.56/x
  3. Step 3: Cross multiply
    422,298.24x = 582,780.96 × 241,006.56
  4. Step 4: Simplify right side
    422,298.24x = 140,454,034,403.10
  5. Step 5: Solve for x
    x = 140,454,034,403.10/422,298.24
  6. Step 6: Final answer
    x = 332,594.41

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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.