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Finding the Fourth Proportional to 422,806.21, 583,468.12 and 231,819.13

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Solution

The fourth proportional to 422,806.21, 583,468.12 and 231,819.13 is: 319,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,806.21 : 583,468.12 = 231,819.13 : x
  2. Step 2: Convert to fraction form
    422,806.21/583,468.12 = 231,819.13/x
  3. Step 3: Cross multiply
    422,806.21x = 583,468.12 × 231,819.13
  4. Step 4: Simplify right side
    422,806.21x = 135,259,071,961.14
  5. Step 5: Solve for x
    x = 135,259,071,961.14/422,806.21
  6. Step 6: Final answer
    x = 319,907.96

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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.