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Finding the Fourth Proportional to 422,164.08, 582,641.76 and 240,834.24

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Solution

The fourth proportional to 422,164.08, 582,641.76 and 240,834.24 is: 332,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,164.08 : 582,641.76 = 240,834.24 : x
  2. Step 2: Convert to fraction form
    422,164.08/582,641.76 = 240,834.24/x
  3. Step 3: Cross multiply
    422,164.08x = 582,641.76 × 240,834.24
  4. Step 4: Simplify right side
    422,164.08x = 140,320,085,461.86
  5. Step 5: Solve for x
    x = 140,320,085,461.86/422,164.08
  6. Step 6: Final answer
    x = 332,382.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.