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Finding the Fourth Proportional to 288,219.38, 396,862.27 and 261,186.03

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Solution

The fourth proportional to 288,219.38, 396,862.27 and 261,186.03 is: 359,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,219.38 : 396,862.27 = 261,186.03 : x
  2. Step 2: Convert to fraction form
    288,219.38/396,862.27 = 261,186.03/x
  3. Step 3: Cross multiply
    288,219.38x = 396,862.27 × 261,186.03
  4. Step 4: Simplify right side
    288,219.38x = 103,654,880,758.09
  5. Step 5: Solve for x
    x = 103,654,880,758.09/288,219.38
  6. Step 6: Final answer
    x = 359,638.83

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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.