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Finding the Fourth Proportional to 422,055.59, 582,435.15 and 240,767.18

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Solution

The fourth proportional to 422,055.59, 582,435.15 and 240,767.18 is: 332,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,055.59 : 582,435.15 = 240,767.18 : x
  2. Step 2: Convert to fraction form
    422,055.59/582,435.15 = 240,767.18/x
  3. Step 3: Cross multiply
    422,055.59x = 582,435.15 × 240,767.18
  4. Step 4: Simplify right side
    422,055.59x = 140,231,268,598.38
  5. Step 5: Solve for x
    x = 140,231,268,598.38/422,055.59
  6. Step 6: Final answer
    x = 332,257.82

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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.