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Finding the Fourth Proportional to 378,451.38, 522,251.73 and 208,685.46

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Solution

The fourth proportional to 378,451.38, 522,251.73 and 208,685.46 is: 287,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,451.38 : 522,251.73 = 208,685.46 : x
  2. Step 2: Convert to fraction form
    378,451.38/522,251.73 = 208,685.46/x
  3. Step 3: Cross multiply
    378,451.38x = 522,251.73 × 208,685.46
  4. Step 4: Simplify right side
    378,451.38x = 108,986,342,510.85
  5. Step 5: Solve for x
    x = 108,986,342,510.85/378,451.38
  6. Step 6: Final answer
    x = 287,979.77

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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.