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Finding the Fourth Proportional to 422,529.52, 583,104.94 and 231,541.24

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Solution

The fourth proportional to 422,529.52, 583,104.94 and 231,541.24 is: 319,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,529.52 : 583,104.94 = 231,541.24 : x
  2. Step 2: Convert to fraction form
    422,529.52/583,104.94 = 231,541.24/x
  3. Step 3: Cross multiply
    422,529.52x = 583,104.94 × 231,541.24
  4. Step 4: Simplify right side
    422,529.52x = 135,012,840,857.73
  5. Step 5: Solve for x
    x = 135,012,840,857.73/422,529.52
  6. Step 6: Final answer
    x = 319,534.69

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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.