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Finding the Fourth Proportional to 299,381.70, 449,072.55 and 204,903.30

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Solution

The fourth proportional to 299,381.70, 449,072.55 and 204,903.30 is: 307,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,381.70 : 449,072.55 = 204,903.30 : x
  2. Step 2: Convert to fraction form
    299,381.70/449,072.55 = 204,903.30/x
  3. Step 3: Cross multiply
    299,381.70x = 449,072.55 × 204,903.30
  4. Step 4: Simplify right side
    299,381.70x = 92,016,447,434.42
  5. Step 5: Solve for x
    x = 92,016,447,434.42/299,381.70
  6. Step 6: Final answer
    x = 307,354.95

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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.