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Finding the Fourth Proportional to 422,327.13, 582,820.85 and 241,035.42

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Solution

The fourth proportional to 422,327.13, 582,820.85 and 241,035.42 is: 332,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,327.13 : 582,820.85 = 241,035.42 : x
  2. Step 2: Convert to fraction form
    422,327.13/582,820.85 = 241,035.42/x
  3. Step 3: Cross multiply
    422,327.13x = 582,820.85 × 241,035.42
  4. Step 4: Simplify right side
    422,327.13x = 140,480,468,364.51
  5. Step 5: Solve for x
    x = 140,480,468,364.51/422,327.13
  6. Step 6: Final answer
    x = 332,634.25

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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.