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Finding the Fourth Proportional to 422,728.24, 583,424.64 and 261,635.20

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Solution

The fourth proportional to 422,728.24, 583,424.64 and 261,635.20 is: 361,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,728.24 : 583,424.64 = 261,635.20 : x
  2. Step 2: Convert to fraction form
    422,728.24/583,424.64 = 261,635.20/x
  3. Step 3: Cross multiply
    422,728.24x = 583,424.64 × 261,635.20
  4. Step 4: Simplify right side
    422,728.24x = 152,644,422,371.33
  5. Step 5: Solve for x
    x = 152,644,422,371.33/422,728.24
  6. Step 6: Final answer
    x = 361,093.51

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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.