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Finding the Fourth Proportional to 422,305.42, 582,619.32 and 241,027.42

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Solution

The fourth proportional to 422,305.42, 582,619.32 and 241,027.42 is: 332,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,305.42 : 582,619.32 = 241,027.42 : x
  2. Step 2: Convert to fraction form
    422,305.42/582,619.32 = 241,027.42/x
  3. Step 3: Cross multiply
    422,305.42x = 582,619.32 × 241,027.42
  4. Step 4: Simplify right side
    422,305.42x = 140,427,231,541.75
  5. Step 5: Solve for x
    x = 140,427,231,541.75/422,305.42
  6. Step 6: Final answer
    x = 332,525.29

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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.