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Finding the Fourth Proportional to 311,894.46, 430,414.50 and 168,654.60

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Solution

The fourth proportional to 311,894.46, 430,414.50 and 168,654.60 is: 232,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.46 : 430,414.50 = 168,654.60 : x
  2. Step 2: Convert to fraction form
    311,894.46/430,414.50 = 168,654.60/x
  3. Step 3: Cross multiply
    311,894.46x = 430,414.50 × 168,654.60
  4. Step 4: Simplify right side
    311,894.46x = 72,591,385,331.70
  5. Step 5: Solve for x
    x = 72,591,385,331.70/311,894.46
  6. Step 6: Final answer
    x = 232,743.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.