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Finding the Fourth Proportional to 260,965.38, 360,305.70 and 200,427.84

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Solution

The fourth proportional to 260,965.38, 360,305.70 and 200,427.84 is: 276,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,965.38 : 360,305.70 = 200,427.84 : x
  2. Step 2: Convert to fraction form
    260,965.38/360,305.70 = 200,427.84/x
  3. Step 3: Cross multiply
    260,965.38x = 360,305.70 × 200,427.84
  4. Step 4: Simplify right side
    260,965.38x = 72,215,293,190.69
  5. Step 5: Solve for x
    x = 72,215,293,190.69/260,965.38
  6. Step 6: Final answer
    x = 276,723.65

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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.