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Finding the Fourth Proportional to 802,971.20, 1,204,458.96 and 270,866

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Solution

The fourth proportional to 802,971.20, 1,204,458.96 and 270,866 is: 406,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,971.20 : 1,204,458.96 = 270,866 : x
  2. Step 2: Convert to fraction form
    802,971.20/1,204,458.96 = 270,866/x
  3. Step 3: Cross multiply
    802,971.20x = 1,204,458.96 × 270,866
  4. Step 4: Simplify right side
    802,971.20x = 326,246,980,659.36
  5. Step 5: Solve for x
    x = 326,246,980,659.36/802,971.20
  6. Step 6: Final answer
    x = 406,299.73

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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.