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Finding the Fourth Proportional to 511,285.52, 766,659.66 and 226,852.88

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Solution

The fourth proportional to 511,285.52, 766,659.66 and 226,852.88 is: 340,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,285.52 : 766,659.66 = 226,852.88 : x
  2. Step 2: Convert to fraction form
    511,285.52/766,659.66 = 226,852.88/x
  3. Step 3: Cross multiply
    511,285.52x = 766,659.66 × 226,852.88
  4. Step 4: Simplify right side
    511,285.52x = 173,918,951,850.82
  5. Step 5: Solve for x
    x = 173,918,951,850.82/511,285.52
  6. Step 6: Final answer
    x = 340,160.14

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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.