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Finding the Fourth Proportional to 422,114.01, 582,511.55 and 231,127.40

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Solution

The fourth proportional to 422,114.01, 582,511.55 and 231,127.40 is: 318,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,114.01 : 582,511.55 = 231,127.40 : x
  2. Step 2: Convert to fraction form
    422,114.01/582,511.55 = 231,127.40/x
  3. Step 3: Cross multiply
    422,114.01x = 582,511.55 × 231,127.40
  4. Step 4: Simplify right side
    422,114.01x = 134,634,379,983.89
  5. Step 5: Solve for x
    x = 134,634,379,983.89/422,114.01
  6. Step 6: Final answer
    x = 318,952.65

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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.