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Finding the Fourth Proportional to 394,208.64, 591,304.59 and 127,968.75

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Solution

The fourth proportional to 394,208.64, 591,304.59 and 127,968.75 is: 191,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,208.64 : 591,304.59 = 127,968.75 : x
  2. Step 2: Convert to fraction form
    394,208.64/591,304.59 = 127,968.75/x
  3. Step 3: Cross multiply
    394,208.64x = 591,304.59 × 127,968.75
  4. Step 4: Simplify right side
    394,208.64x = 75,668,509,251.56
  5. Step 5: Solve for x
    x = 75,668,509,251.56/394,208.64
  6. Step 6: Final answer
    x = 191,950.41

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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.