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Finding the Fourth Proportional to 2,243,714, 3,365,571 and 667,778

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Solution

The fourth proportional to 2,243,714, 3,365,571 and 667,778 is: 1,001,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,714 : 3,365,571 = 667,778 : x
  2. Step 2: Convert to fraction form
    2,243,714/3,365,571 = 667,778/x
  3. Step 3: Cross multiply
    2,243,714x = 3,365,571 × 667,778
  4. Step 4: Simplify right side
    2,243,714x = 2,247,454,271,238
  5. Step 5: Solve for x
    x = 2,247,454,271,238/2,243,714
  6. Step 6: Final answer
    x = 1,001,667

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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.