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Finding the Fourth Proportional to 422,020.96, 582,396.14 and 260,871.86

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Solution

The fourth proportional to 422,020.96, 582,396.14 and 260,871.86 is: 360,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,020.96 : 582,396.14 = 260,871.86 : x
  2. Step 2: Convert to fraction form
    422,020.96/582,396.14 = 260,871.86/x
  3. Step 3: Cross multiply
    422,020.96x = 582,396.14 × 260,871.86
  4. Step 4: Simplify right side
    422,020.96x = 151,930,764,298.62
  5. Step 5: Solve for x
    x = 151,930,764,298.62/422,020.96
  6. Step 6: Final answer
    x = 360,007.63

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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.