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Finding the Fourth Proportional to 322,997.16, 445,730.10 and 179,755.94

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Solution

The fourth proportional to 322,997.16, 445,730.10 and 179,755.94 is: 248,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,997.16 : 445,730.10 = 179,755.94 : x
  2. Step 2: Convert to fraction form
    322,997.16/445,730.10 = 179,755.94/x
  3. Step 3: Cross multiply
    322,997.16x = 445,730.10 × 179,755.94
  4. Step 4: Simplify right side
    322,997.16x = 80,122,633,111.79
  5. Step 5: Solve for x
    x = 80,122,633,111.79/322,997.16
  6. Step 6: Final answer
    x = 248,059.87

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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.