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Finding the Fourth Proportional to 306,694.56, 423,208.80 and 226,165.44

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Solution

The fourth proportional to 306,694.56, 423,208.80 and 226,165.44 is: 312,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,694.56 : 423,208.80 = 226,165.44 : x
  2. Step 2: Convert to fraction form
    306,694.56/423,208.80 = 226,165.44/x
  3. Step 3: Cross multiply
    306,694.56x = 423,208.80 × 226,165.44
  4. Step 4: Simplify right side
    306,694.56x = 95,715,204,463.87
  5. Step 5: Solve for x
    x = 95,715,204,463.87/306,694.56
  6. Step 6: Final answer
    x = 312,086.41

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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.