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Finding the Fourth Proportional to 394,009.25, 590,164.97 and 266,952.38

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Solution

The fourth proportional to 394,009.25, 590,164.97 and 266,952.38 is: 399,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,009.25 : 590,164.97 = 266,952.38 : x
  2. Step 2: Convert to fraction form
    394,009.25/590,164.97 = 266,952.38/x
  3. Step 3: Cross multiply
    394,009.25x = 590,164.97 × 266,952.38
  4. Step 4: Simplify right side
    394,009.25x = 157,545,939,048.54
  5. Step 5: Solve for x
    x = 157,545,939,048.54/394,009.25
  6. Step 6: Final answer
    x = 399,853.41

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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.