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Finding the Fourth Proportional to 276,063.07, 413,672.22 and 185,771.40

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Solution

The fourth proportional to 276,063.07, 413,672.22 and 185,771.40 is: 278,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,063.07 : 413,672.22 = 185,771.40 : x
  2. Step 2: Convert to fraction form
    276,063.07/413,672.22 = 185,771.40/x
  3. Step 3: Cross multiply
    276,063.07x = 413,672.22 × 185,771.40
  4. Step 4: Simplify right side
    276,063.07x = 76,848,469,001.78
  5. Step 5: Solve for x
    x = 76,848,469,001.78/276,063.07
  6. Step 6: Final answer
    x = 278,372.87

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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.