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Finding the Fourth Proportional to 322,753.90, 445,094.64 and 206,504.12

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Solution

The fourth proportional to 322,753.90, 445,094.64 and 206,504.12 is: 284,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,753.90 : 445,094.64 = 206,504.12 : x
  2. Step 2: Convert to fraction form
    322,753.90/445,094.64 = 206,504.12/x
  3. Step 3: Cross multiply
    322,753.90x = 445,094.64 × 206,504.12
  4. Step 4: Simplify right side
    322,753.90x = 91,913,876,949.92
  5. Step 5: Solve for x
    x = 91,913,876,949.92/322,753.90
  6. Step 6: Final answer
    x = 284,780.07

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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.