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Finding the Fourth Proportional to 267,908.70, 401,863.05 and 204,923.10

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Solution

The fourth proportional to 267,908.70, 401,863.05 and 204,923.10 is: 307,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,908.70 : 401,863.05 = 204,923.10 : x
  2. Step 2: Convert to fraction form
    267,908.70/401,863.05 = 204,923.10/x
  3. Step 3: Cross multiply
    267,908.70x = 401,863.05 × 204,923.10
  4. Step 4: Simplify right side
    267,908.70x = 82,351,021,981.46
  5. Step 5: Solve for x
    x = 82,351,021,981.46/267,908.70
  6. Step 6: Final answer
    x = 307,384.65

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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.