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Finding the Fourth Proportional to 318,541.66, 477,812.46 and 81,884.56

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Solution

The fourth proportional to 318,541.66, 477,812.46 and 81,884.56 is: 122,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,541.66 : 477,812.46 = 81,884.56 : x
  2. Step 2: Convert to fraction form
    318,541.66/477,812.46 = 81,884.56/x
  3. Step 3: Cross multiply
    318,541.66x = 477,812.46 × 81,884.56
  4. Step 4: Simplify right side
    318,541.66x = 39,125,463,049.62
  5. Step 5: Solve for x
    x = 39,125,463,049.62/318,541.66
  6. Step 6: Final answer
    x = 122,826.83

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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.