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Finding the Fourth Proportional to 323,971.70, 485,957.55 and 206,165.30

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Solution

The fourth proportional to 323,971.70, 485,957.55 and 206,165.30 is: 309,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,971.70 : 485,957.55 = 206,165.30 : x
  2. Step 2: Convert to fraction form
    323,971.70/485,957.55 = 206,165.30/x
  3. Step 3: Cross multiply
    323,971.70x = 485,957.55 × 206,165.30
  4. Step 4: Simplify right side
    323,971.70x = 100,187,584,083.02
  5. Step 5: Solve for x
    x = 100,187,584,083.02/323,971.70
  6. Step 6: Final answer
    x = 309,247.95

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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.