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Finding the Fourth Proportional to 310,471.92, 465,318.27 and 132,769.98

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Solution

The fourth proportional to 310,471.92, 465,318.27 and 132,769.98 is: 198,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.92 : 465,318.27 = 132,769.98 : x
  2. Step 2: Convert to fraction form
    310,471.92/465,318.27 = 132,769.98/x
  3. Step 3: Cross multiply
    310,471.92x = 465,318.27 × 132,769.98
  4. Step 4: Simplify right side
    310,471.92x = 61,780,297,401.53
  5. Step 5: Solve for x
    x = 61,780,297,401.53/310,471.92
  6. Step 6: Final answer
    x = 198,988.36

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Why These Related Problems?

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