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Finding the Fourth Proportional to 311,410.60, 466,943.10 and 133,887.40

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Solution

The fourth proportional to 311,410.60, 466,943.10 and 133,887.40 is: 200,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.60 : 466,943.10 = 133,887.40 : x
  2. Step 2: Convert to fraction form
    311,410.60/466,943.10 = 133,887.40/x
  3. Step 3: Cross multiply
    311,410.60x = 466,943.10 × 133,887.40
  4. Step 4: Simplify right side
    311,410.60x = 62,517,797,606.94
  5. Step 5: Solve for x
    x = 62,517,797,606.94/311,410.60
  6. Step 6: Final answer
    x = 200,756.81

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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.