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Finding the Fourth Proportional to 312,422.92, 431,143.86 and 169,183.12

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Solution

The fourth proportional to 312,422.92, 431,143.86 and 169,183.12 is: 233,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.92 : 431,143.86 = 169,183.12 : x
  2. Step 2: Convert to fraction form
    312,422.92/431,143.86 = 169,183.12/x
  3. Step 3: Cross multiply
    312,422.92x = 431,143.86 × 169,183.12
  4. Step 4: Simplify right side
    312,422.92x = 72,942,263,403.64
  5. Step 5: Solve for x
    x = 72,942,263,403.64/312,422.92
  6. Step 6: Final answer
    x = 233,472.83

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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.