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Finding the Fourth Proportional to 538,084.62, 806,846.70 and 200,847.96

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Solution

The fourth proportional to 538,084.62, 806,846.70 and 200,847.96 is: 301,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,084.62 : 806,846.70 = 200,847.96 : x
  2. Step 2: Convert to fraction form
    538,084.62/806,846.70 = 200,847.96/x
  3. Step 3: Cross multiply
    538,084.62x = 806,846.70 × 200,847.96
  4. Step 4: Simplify right side
    538,084.62x = 162,053,513,727.73
  5. Step 5: Solve for x
    x = 162,053,513,727.73/538,084.62
  6. Step 6: Final answer
    x = 301,167.34

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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.