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Finding the Fourth Proportional to 410,286.69, 565,749.23 and 266,780.61

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Solution

The fourth proportional to 410,286.69, 565,749.23 and 266,780.61 is: 367,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,286.69 : 565,749.23 = 266,780.61 : x
  2. Step 2: Convert to fraction form
    410,286.69/565,749.23 = 266,780.61/x
  3. Step 3: Cross multiply
    410,286.69x = 565,749.23 × 266,780.61
  4. Step 4: Simplify right side
    410,286.69x = 150,930,923,352.53
  5. Step 5: Solve for x
    x = 150,930,923,352.53/410,286.69
  6. Step 6: Final answer
    x = 367,866.97

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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.