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Finding the Fourth Proportional to 308,404.38, 425,467.71 and 206,462.68

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Solution

The fourth proportional to 308,404.38, 425,467.71 and 206,462.68 is: 284,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,404.38 : 425,467.71 = 206,462.68 : x
  2. Step 2: Convert to fraction form
    308,404.38/425,467.71 = 206,462.68/x
  3. Step 3: Cross multiply
    308,404.38x = 425,467.71 × 206,462.68
  4. Step 4: Simplify right side
    308,404.38x = 87,843,203,660.06
  5. Step 5: Solve for x
    x = 87,843,203,660.06/308,404.38
  6. Step 6: Final answer
    x = 284,831.25

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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.