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Finding the Fourth Proportional to 252,540.40, 379,335.48 and 200,314.84

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Solution

The fourth proportional to 252,540.40, 379,335.48 and 200,314.84 is: 300,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,540.40 : 379,335.48 = 200,314.84 : x
  2. Step 2: Convert to fraction form
    252,540.40/379,335.48 = 200,314.84/x
  3. Step 3: Cross multiply
    252,540.40x = 379,335.48 × 200,314.84
  4. Step 4: Simplify right side
    252,540.40x = 75,986,525,982.52
  5. Step 5: Solve for x
    x = 75,986,525,982.52/252,540.40
  6. Step 6: Final answer
    x = 300,888.59

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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.