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Finding the Fourth Proportional to 422,166.02, 582,562.41 and 231,181.70

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Solution

The fourth proportional to 422,166.02, 582,562.41 and 231,181.70 is: 319,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.02 : 582,562.41 = 231,181.70 : x
  2. Step 2: Convert to fraction form
    422,166.02/582,562.41 = 231,181.70/x
  3. Step 3: Cross multiply
    422,166.02x = 582,562.41 × 231,181.70
  4. Step 4: Simplify right side
    422,166.02x = 134,677,768,299.90
  5. Step 5: Solve for x
    x = 134,677,768,299.90/422,166.02
  6. Step 6: Final answer
    x = 319,016.13

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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.