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Finding the Fourth Proportional to 2,986,797.64, 4,481,638.14 and 1,469,657.80

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Solution

The fourth proportional to 2,986,797.64, 4,481,638.14 and 1,469,657.80 is: 2,205,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,797.64 : 4,481,638.14 = 1,469,657.80 : x
  2. Step 2: Convert to fraction form
    2,986,797.64/4,481,638.14 = 1,469,657.80/x
  3. Step 3: Cross multiply
    2,986,797.64x = 4,481,638.14 × 1,469,657.80
  4. Step 4: Simplify right side
    2,986,797.64x = 6,586,474,449,228.49
  5. Step 5: Solve for x
    x = 6,586,474,449,228.49/2,986,797.64
  6. Step 6: Final answer
    x = 2,205,196.08

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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.