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Finding the Fourth Proportional to 323,958.70, 485,938.05 and 206,152.30

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Solution

The fourth proportional to 323,958.70, 485,938.05 and 206,152.30 is: 309,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,958.70 : 485,938.05 = 206,152.30 : x
  2. Step 2: Convert to fraction form
    323,958.70/485,938.05 = 206,152.30/x
  3. Step 3: Cross multiply
    323,958.70x = 485,938.05 × 206,152.30
  4. Step 4: Simplify right side
    323,958.70x = 100,177,246,665.02
  5. Step 5: Solve for x
    x = 100,177,246,665.02/323,958.70
  6. Step 6: Final answer
    x = 309,228.45

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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.