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Finding the Fourth Proportional to 415,147, 622,721.10 and 115,628.44

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Solution

The fourth proportional to 415,147, 622,721.10 and 115,628.44 is: 173,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,147 : 622,721.10 = 115,628.44 : x
  2. Step 2: Convert to fraction form
    415,147/622,721.10 = 115,628.44/x
  3. Step 3: Cross multiply
    415,147x = 622,721.10 × 115,628.44
  4. Step 4: Simplify right side
    415,147x = 72,004,269,348.08
  5. Step 5: Solve for x
    x = 72,004,269,348.08/415,147
  6. Step 6: Final answer
    x = 173,442.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.