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Finding the Fourth Proportional to 496,198.54, 684,737.97 and 281,357.74

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Solution

The fourth proportional to 496,198.54, 684,737.97 and 281,357.74 is: 388,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,198.54 : 684,737.97 = 281,357.74 : x
  2. Step 2: Convert to fraction form
    496,198.54/684,737.97 = 281,357.74/x
  3. Step 3: Cross multiply
    496,198.54x = 684,737.97 × 281,357.74
  4. Step 4: Simplify right side
    496,198.54x = 192,656,327,731.39
  5. Step 5: Solve for x
    x = 192,656,327,731.39/496,198.54
  6. Step 6: Final answer
    x = 388,264.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.