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Finding the Fourth Proportional to 293,097.20, 404,481.38 and 164,034.64

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Solution

The fourth proportional to 293,097.20, 404,481.38 and 164,034.64 is: 226,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,097.20 : 404,481.38 = 164,034.64 : x
  2. Step 2: Convert to fraction form
    293,097.20/404,481.38 = 164,034.64/x
  3. Step 3: Cross multiply
    293,097.20x = 404,481.38 × 164,034.64
  4. Step 4: Simplify right side
    293,097.20x = 66,348,957,555.00
  5. Step 5: Solve for x
    x = 66,348,957,555.00/293,097.20
  6. Step 6: Final answer
    x = 226,371.86

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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.