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Finding the Fourth Proportional to 6,469,334.40, 9,704,001.60 and 1,981,027.20

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Solution

The fourth proportional to 6,469,334.40, 9,704,001.60 and 1,981,027.20 is: 2,971,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,334.40 : 9,704,001.60 = 1,981,027.20 : x
  2. Step 2: Convert to fraction form
    6,469,334.40/9,704,001.60 = 1,981,027.20/x
  3. Step 3: Cross multiply
    6,469,334.40x = 9,704,001.60 × 1,981,027.20
  4. Step 4: Simplify right side
    6,469,334.40x = 19,223,891,118,443.52
  5. Step 5: Solve for x
    x = 19,223,891,118,443.52/6,469,334.40
  6. Step 6: Final answer
    x = 2,971,540.80

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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.