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Finding the Fourth Proportional to 311,942.94, 467,914.49 and 87,336.46

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Solution

The fourth proportional to 311,942.94, 467,914.49 and 87,336.46 is: 131,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942.94 : 467,914.49 = 87,336.46 : x
  2. Step 2: Convert to fraction form
    311,942.94/467,914.49 = 87,336.46/x
  3. Step 3: Cross multiply
    311,942.94x = 467,914.49 × 87,336.46
  4. Step 4: Simplify right side
    311,942.94x = 40,865,995,139.31
  5. Step 5: Solve for x
    x = 40,865,995,139.31/311,942.94
  6. Step 6: Final answer
    x = 131,004.71

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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.