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Finding the Fourth Proportional to 311,408.82, 466,734.78 and 168,916.23

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Solution

The fourth proportional to 311,408.82, 466,734.78 and 168,916.23 is: 253,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,408.82 : 466,734.78 = 168,916.23 : x
  2. Step 2: Convert to fraction form
    311,408.82/466,734.78 = 168,916.23/x
  3. Step 3: Cross multiply
    311,408.82x = 466,734.78 × 168,916.23
  4. Step 4: Simplify right side
    311,408.82x = 78,839,079,447.48
  5. Step 5: Solve for x
    x = 78,839,079,447.48/311,408.82
  6. Step 6: Final answer
    x = 253,169.06

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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.