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Finding the Fourth Proportional to 449,756.52, 674,821.77 and 196,906.83

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Solution

The fourth proportional to 449,756.52, 674,821.77 and 196,906.83 is: 295,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,756.52 : 674,821.77 = 196,906.83 : x
  2. Step 2: Convert to fraction form
    449,756.52/674,821.77 = 196,906.83/x
  3. Step 3: Cross multiply
    449,756.52x = 674,821.77 × 196,906.83
  4. Step 4: Simplify right side
    449,756.52x = 132,877,015,545.69
  5. Step 5: Solve for x
    x = 132,877,015,545.69/449,756.52
  6. Step 6: Final answer
    x = 295,442.11

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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.