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Finding the Fourth Proportional to 252,290.67, 347,878.29 and 206,207.33

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Solution

The fourth proportional to 252,290.67, 347,878.29 and 206,207.33 is: 284,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,290.67 : 347,878.29 = 206,207.33 : x
  2. Step 2: Convert to fraction form
    252,290.67/347,878.29 = 206,207.33/x
  3. Step 3: Cross multiply
    252,290.67x = 347,878.29 × 206,207.33
  4. Step 4: Simplify right side
    252,290.67x = 71,735,053,176.65
  5. Step 5: Solve for x
    x = 71,735,053,176.65/252,290.67
  6. Step 6: Final answer
    x = 284,334.95

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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.