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Finding the Fourth Proportional to 431,937.46, 647,921.40 and 116,401.96

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Solution

The fourth proportional to 431,937.46, 647,921.40 and 116,401.96 is: 174,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,937.46 : 647,921.40 = 116,401.96 : x
  2. Step 2: Convert to fraction form
    431,937.46/647,921.40 = 116,401.96/x
  3. Step 3: Cross multiply
    431,937.46x = 647,921.40 × 116,401.96
  4. Step 4: Simplify right side
    431,937.46x = 75,419,320,885.94
  5. Step 5: Solve for x
    x = 75,419,320,885.94/431,937.46
  6. Step 6: Final answer
    x = 174,607.04

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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.