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Finding the Fourth Proportional to 1,694,007, 2,540,937.60 and 431,796.96

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Solution

The fourth proportional to 1,694,007, 2,540,937.60 and 431,796.96 is: 647,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,007 : 2,540,937.60 = 431,796.96 : x
  2. Step 2: Convert to fraction form
    1,694,007/2,540,937.60 = 431,796.96/x
  3. Step 3: Cross multiply
    1,694,007x = 2,540,937.60 × 431,796.96
  4. Step 4: Simplify right side
    1,694,007x = 1,097,169,131,229.70
  5. Step 5: Solve for x
    x = 1,097,169,131,229.70/1,694,007
  6. Step 6: Final answer
    x = 647,676.86

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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.