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Finding the Fourth Proportional to 341,202.62, 511,191.02 and 200,884.70

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Solution

The fourth proportional to 341,202.62, 511,191.02 and 200,884.70 is: 300,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,202.62 : 511,191.02 = 200,884.70 : x
  2. Step 2: Convert to fraction form
    341,202.62/511,191.02 = 200,884.70/x
  3. Step 3: Cross multiply
    341,202.62x = 511,191.02 × 200,884.70
  4. Step 4: Simplify right side
    341,202.62x = 102,690,454,695.39
  5. Step 5: Solve for x
    x = 102,690,454,695.39/341,202.62
  6. Step 6: Final answer
    x = 300,966.20

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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.