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Finding the Fourth Proportional to 3,992,301.76, 5,990,824.32 and 1,469,728.48

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Solution

The fourth proportional to 3,992,301.76, 5,990,824.32 and 1,469,728.48 is: 2,205,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992,301.76 : 5,990,824.32 = 1,469,728.48 : x
  2. Step 2: Convert to fraction form
    3,992,301.76/5,990,824.32 = 1,469,728.48/x
  3. Step 3: Cross multiply
    3,992,301.76x = 5,990,824.32 × 1,469,728.48
  4. Step 4: Simplify right side
    3,992,301.76x = 8,804,885,121,780.64
  5. Step 5: Solve for x
    x = 8,804,885,121,780.64/3,992,301.76
  6. Step 6: Final answer
    x = 2,205,465.83

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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.