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Finding the Fourth Proportional to 6,314,899.86, 9,469,998.27 and 2,270,284.02

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Solution

The fourth proportional to 6,314,899.86, 9,469,998.27 and 2,270,284.02 is: 3,404,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,899.86 : 9,469,998.27 = 2,270,284.02 : x
  2. Step 2: Convert to fraction form
    6,314,899.86/9,469,998.27 = 2,270,284.02/x
  3. Step 3: Cross multiply
    6,314,899.86x = 9,469,998.27 × 2,270,284.02
  4. Step 4: Simplify right side
    6,314,899.86x = 21,499,585,741,808.64
  5. Step 5: Solve for x
    x = 21,499,585,741,808.64/6,314,899.86
  6. Step 6: Final answer
    x = 3,404,580.63

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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.