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Finding the Fourth Proportional to 311,203.40, 466,869.90 and 177,974.60

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Solution

The fourth proportional to 311,203.40, 466,869.90 and 177,974.60 is: 266,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,203.40 : 466,869.90 = 177,974.60 : x
  2. Step 2: Convert to fraction form
    311,203.40/466,869.90 = 177,974.60/x
  3. Step 3: Cross multiply
    311,203.40x = 466,869.90 × 177,974.60
  4. Step 4: Simplify right side
    311,203.40x = 83,090,983,704.54
  5. Step 5: Solve for x
    x = 83,090,983,704.54/311,203.40
  6. Step 6: Final answer
    x = 266,998.96

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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.