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Finding the Fourth Proportional to 422,271.36, 582,728.04 and 231,284.16

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Solution

The fourth proportional to 422,271.36, 582,728.04 and 231,284.16 is: 319,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,271.36 : 582,728.04 = 231,284.16 : x
  2. Step 2: Convert to fraction form
    422,271.36/582,728.04 = 231,284.16/x
  3. Step 3: Cross multiply
    422,271.36x = 582,728.04 × 231,284.16
  4. Step 4: Simplify right side
    422,271.36x = 134,775,765,239.85
  5. Step 5: Solve for x
    x = 134,775,765,239.85/422,271.36
  6. Step 6: Final answer
    x = 319,168.62

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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.