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Finding the Fourth Proportional to 828,434, 1,241,067.90 and 694,356.32

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Solution

The fourth proportional to 828,434, 1,241,067.90 and 694,356.32 is: 1,040,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,434 : 1,241,067.90 = 694,356.32 : x
  2. Step 2: Convert to fraction form
    828,434/1,241,067.90 = 694,356.32/x
  3. Step 3: Cross multiply
    828,434x = 1,241,067.90 × 694,356.32
  4. Step 4: Simplify right side
    828,434x = 861,743,339,914.13
  5. Step 5: Solve for x
    x = 861,743,339,914.13/828,434
  6. Step 6: Final answer
    x = 1,040,207.60

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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.