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Finding the Fourth Proportional to 415,057.97, 622,524.99 and 115,507.32

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Solution

The fourth proportional to 415,057.97, 622,524.99 and 115,507.32 is: 173,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,057.97 : 622,524.99 = 115,507.32 : x
  2. Step 2: Convert to fraction form
    415,057.97/622,524.99 = 115,507.32/x
  3. Step 3: Cross multiply
    415,057.97x = 622,524.99 × 115,507.32
  4. Step 4: Simplify right side
    415,057.97x = 71,906,191,326.61
  5. Step 5: Solve for x
    x = 71,906,191,326.61/415,057.97
  6. Step 6: Final answer
    x = 173,243.73

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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.