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Finding the Fourth Proportional to 276,100.45, 413,727.90 and 185,808.49

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Solution

The fourth proportional to 276,100.45, 413,727.90 and 185,808.49 is: 278,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,100.45 : 413,727.90 = 185,808.49 : x
  2. Step 2: Convert to fraction form
    276,100.45/413,727.90 = 185,808.49/x
  3. Step 3: Cross multiply
    276,100.45x = 413,727.90 × 185,808.49
  4. Step 4: Simplify right side
    276,100.45x = 76,874,156,369.87
  5. Step 5: Solve for x
    x = 76,874,156,369.87/276,100.45
  6. Step 6: Final answer
    x = 278,428.22

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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.