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Finding the Fourth Proportional to 494,497.20, 682,493.50 and 290,548.06

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Solution

The fourth proportional to 494,497.20, 682,493.50 and 290,548.06 is: 401,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,497.20 : 682,493.50 = 290,548.06 : x
  2. Step 2: Convert to fraction form
    494,497.20/682,493.50 = 290,548.06/x
  3. Step 3: Cross multiply
    494,497.20x = 682,493.50 × 290,548.06
  4. Step 4: Simplify right side
    494,497.20x = 198,297,163,249.25
  5. Step 5: Solve for x
    x = 198,297,163,249.25/494,497.20
  6. Step 6: Final answer
    x = 401,007.65

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