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Finding the Fourth Proportional to 313,044.39, 469,362.45 and 206,104.65

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Solution

The fourth proportional to 313,044.39, 469,362.45 and 206,104.65 is: 309,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,044.39 : 469,362.45 = 206,104.65 : x
  2. Step 2: Convert to fraction form
    313,044.39/469,362.45 = 206,104.65/x
  3. Step 3: Cross multiply
    313,044.39x = 469,362.45 × 206,104.65
  4. Step 4: Simplify right side
    313,044.39x = 96,737,783,480.39
  5. Step 5: Solve for x
    x = 96,737,783,480.39/313,044.39
  6. Step 6: Final answer
    x = 309,022.57

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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.