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Finding the Fourth Proportional to 691,716.51, 954,406.26 and 419,778.27

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Solution

The fourth proportional to 691,716.51, 954,406.26 and 419,778.27 is: 579,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,716.51 : 954,406.26 = 419,778.27 : x
  2. Step 2: Convert to fraction form
    691,716.51/954,406.26 = 419,778.27/x
  3. Step 3: Cross multiply
    691,716.51x = 954,406.26 × 419,778.27
  4. Step 4: Simplify right side
    691,716.51x = 400,639,008,699.97
  5. Step 5: Solve for x
    x = 400,639,008,699.97/691,716.51
  6. Step 6: Final answer
    x = 579,195.38

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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.