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Finding the Fourth Proportional to 511,144.56, 766,663.44 and 226,839.96

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Solution

The fourth proportional to 511,144.56, 766,663.44 and 226,839.96 is: 340,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,144.56 : 766,663.44 = 226,839.96 : x
  2. Step 2: Convert to fraction form
    511,144.56/766,663.44 = 226,839.96/x
  3. Step 3: Cross multiply
    511,144.56x = 766,663.44 × 226,839.96
  4. Step 4: Simplify right side
    511,144.56x = 173,909,904,063.06
  5. Step 5: Solve for x
    x = 173,909,904,063.06/511,144.56
  6. Step 6: Final answer
    x = 340,236.24

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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.