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Finding the Fourth Proportional to 703,022.29, 970,249.66 and 397,118.38

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Solution

The fourth proportional to 703,022.29, 970,249.66 and 397,118.38 is: 548,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,022.29 : 970,249.66 = 397,118.38 : x
  2. Step 2: Convert to fraction form
    703,022.29/970,249.66 = 397,118.38/x
  3. Step 3: Cross multiply
    703,022.29x = 970,249.66 × 397,118.38
  4. Step 4: Simplify right side
    703,022.29x = 385,303,969,756.33
  5. Step 5: Solve for x
    x = 385,303,969,756.33/703,022.29
  6. Step 6: Final answer
    x = 548,067.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.