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Finding the Fourth Proportional to 321,926, 482,481.96 and 281,846.82

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Solution

The fourth proportional to 321,926, 482,481.96 and 281,846.82 is: 422,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,926 : 482,481.96 = 281,846.82 : x
  2. Step 2: Convert to fraction form
    321,926/482,481.96 = 281,846.82/x
  3. Step 3: Cross multiply
    321,926x = 482,481.96 × 281,846.82
  4. Step 4: Simplify right side
    321,926x = 135,986,006,133.37
  5. Step 5: Solve for x
    x = 135,986,006,133.37/321,926
  6. Step 6: Final answer
    x = 422,413.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.