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Finding the Fourth Proportional to 647,969.81, 971,843.90 and 174,544.43

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Solution

The fourth proportional to 647,969.81, 971,843.90 and 174,544.43 is: 261,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,969.81 : 971,843.90 = 174,544.43 : x
  2. Step 2: Convert to fraction form
    647,969.81/971,843.90 = 174,544.43/x
  3. Step 3: Cross multiply
    647,969.81x = 971,843.90 × 174,544.43
  4. Step 4: Simplify right side
    647,969.81x = 169,629,933,842.54
  5. Step 5: Solve for x
    x = 169,629,933,842.54/647,969.81
  6. Step 6: Final answer
    x = 261,786.79

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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.