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Finding the Fourth Proportional to 322,906.10, 484,301.55 and 204,365.30

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Solution

The fourth proportional to 322,906.10, 484,301.55 and 204,365.30 is: 306,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,906.10 : 484,301.55 = 204,365.30 : x
  2. Step 2: Convert to fraction form
    322,906.10/484,301.55 = 204,365.30/x
  3. Step 3: Cross multiply
    322,906.10x = 484,301.55 × 204,365.30
  4. Step 4: Simplify right side
    322,906.10x = 98,974,431,556.22
  5. Step 5: Solve for x
    x = 98,974,431,556.22/322,906.10
  6. Step 6: Final answer
    x = 306,511.50

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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.