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Finding the Fourth Proportional to 689,644.39, 951,694.32 and 399,268.20

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Solution

The fourth proportional to 689,644.39, 951,694.32 and 399,268.20 is: 550,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,644.39 : 951,694.32 = 399,268.20 : x
  2. Step 2: Convert to fraction form
    689,644.39/951,694.32 = 399,268.20/x
  3. Step 3: Cross multiply
    689,644.39x = 951,694.32 × 399,268.20
  4. Step 4: Simplify right side
    689,644.39x = 379,981,278,096.62
  5. Step 5: Solve for x
    x = 379,981,278,096.62/689,644.39
  6. Step 6: Final answer
    x = 550,981.47

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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.