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Finding the Fourth Proportional to 701,398.26, 968,251.86 and 410,969.52

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Solution

The fourth proportional to 701,398.26, 968,251.86 and 410,969.52 is: 567,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,398.26 : 968,251.86 = 410,969.52 : x
  2. Step 2: Convert to fraction form
    701,398.26/968,251.86 = 410,969.52/x
  3. Step 3: Cross multiply
    701,398.26x = 968,251.86 × 410,969.52
  4. Step 4: Simplify right side
    701,398.26x = 397,922,002,143.31
  5. Step 5: Solve for x
    x = 397,922,002,143.31/701,398.26
  6. Step 6: Final answer
    x = 567,326.76

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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.