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Finding the Fourth Proportional to 896,016, 1,344,049.92 and 231,168

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Solution

The fourth proportional to 896,016, 1,344,049.92 and 231,168 is: 346,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,016 : 1,344,049.92 = 231,168 : x
  2. Step 2: Convert to fraction form
    896,016/1,344,049.92 = 231,168/x
  3. Step 3: Cross multiply
    896,016x = 1,344,049.92 × 231,168
  4. Step 4: Simplify right side
    896,016x = 310,701,331,906.56
  5. Step 5: Solve for x
    x = 310,701,331,906.56/896,016
  6. Step 6: Final answer
    x = 346,758.69

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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.