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Finding the Fourth Proportional to 422,169.57, 582,582.65 and 240,878.21

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Solution

The fourth proportional to 422,169.57, 582,582.65 and 240,878.21 is: 332,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,169.57 : 582,582.65 = 240,878.21 : x
  2. Step 2: Convert to fraction form
    422,169.57/582,582.65 = 240,878.21/x
  3. Step 3: Cross multiply
    422,169.57x = 582,582.65 × 240,878.21
  4. Step 4: Simplify right side
    422,169.57x = 140,331,461,791.75
  5. Step 5: Solve for x
    x = 140,331,461,791.75/422,169.57
  6. Step 6: Final answer
    x = 332,405.44

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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.