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Finding the Fourth Proportional to 412,097.44, 618,545.11 and 199,014.95

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Solution

The fourth proportional to 412,097.44, 618,545.11 and 199,014.95 is: 298,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,097.44 : 618,545.11 = 199,014.95 : x
  2. Step 2: Convert to fraction form
    412,097.44/618,545.11 = 199,014.95/x
  3. Step 3: Cross multiply
    412,097.44x = 618,545.11 × 199,014.95
  4. Step 4: Simplify right side
    412,097.44x = 123,099,723,821.72
  5. Step 5: Solve for x
    x = 123,099,723,821.72/412,097.44
  6. Step 6: Final answer
    x = 298,715.09

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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.