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Finding the Fourth Proportional to 311,676.59, 468,179.40 and 293,454.18

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Solution

The fourth proportional to 311,676.59, 468,179.40 and 293,454.18 is: 440,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,676.59 : 468,179.40 = 293,454.18 : x
  2. Step 2: Convert to fraction form
    311,676.59/468,179.40 = 293,454.18/x
  3. Step 3: Cross multiply
    311,676.59x = 468,179.40 × 293,454.18
  4. Step 4: Simplify right side
    311,676.59x = 137,389,204,042.38
  5. Step 5: Solve for x
    x = 137,389,204,042.38/311,676.59
  6. Step 6: Final answer
    x = 440,806.94

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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.