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Finding the Fourth Proportional to 422,259.68, 582,718.56 and 231,285.20

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Solution

The fourth proportional to 422,259.68, 582,718.56 and 231,285.20 is: 319,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,259.68 : 582,718.56 = 231,285.20 : x
  2. Step 2: Convert to fraction form
    422,259.68/582,718.56 = 231,285.20/x
  3. Step 3: Cross multiply
    422,259.68x = 582,718.56 × 231,285.20
  4. Step 4: Simplify right side
    422,259.68x = 134,774,178,693.31
  5. Step 5: Solve for x
    x = 134,774,178,693.31/422,259.68
  6. Step 6: Final answer
    x = 319,173.69

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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.