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Finding the Fourth Proportional to 2,179,744, 3,270,141 and 683,836

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Solution

The fourth proportional to 2,179,744, 3,270,141 and 683,836 is: 1,025,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,744 : 3,270,141 = 683,836 : x
  2. Step 2: Convert to fraction form
    2,179,744/3,270,141 = 683,836/x
  3. Step 3: Cross multiply
    2,179,744x = 3,270,141 × 683,836
  4. Step 4: Simplify right side
    2,179,744x = 2,236,240,140,876
  5. Step 5: Solve for x
    x = 2,236,240,140,876/2,179,744
  6. Step 6: Final answer
    x = 1,025,918.70

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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.