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Finding the Fourth Proportional to 392,206.16, 588,297.36 and 233,371.28

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Solution

The fourth proportional to 392,206.16, 588,297.36 and 233,371.28 is: 350,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,206.16 : 588,297.36 = 233,371.28 : x
  2. Step 2: Convert to fraction form
    392,206.16/588,297.36 = 233,371.28/x
  3. Step 3: Cross multiply
    392,206.16x = 588,297.36 × 233,371.28
  4. Step 4: Simplify right side
    392,206.16x = 137,291,707,923.82
  5. Step 5: Solve for x
    x = 137,291,707,923.82/392,206.16
  6. Step 6: Final answer
    x = 350,049.85

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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.