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Finding the Fourth Proportional to 392,238.44, 588,357.66 and 111,756.50

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Solution

The fourth proportional to 392,238.44, 588,357.66 and 111,756.50 is: 167,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,238.44 : 588,357.66 = 111,756.50 : x
  2. Step 2: Convert to fraction form
    392,238.44/588,357.66 = 111,756.50/x
  3. Step 3: Cross multiply
    392,238.44x = 588,357.66 × 111,756.50
  4. Step 4: Simplify right side
    392,238.44x = 65,752,792,829.79
  5. Step 5: Solve for x
    x = 65,752,792,829.79/392,238.44
  6. Step 6: Final answer
    x = 167,634.75

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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.