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Finding the Fourth Proportional to 273,999, 411,121.62 and 174,133.32

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Solution

The fourth proportional to 273,999, 411,121.62 and 174,133.32 is: 261,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,999 : 411,121.62 = 174,133.32 : x
  2. Step 2: Convert to fraction form
    273,999/411,121.62 = 174,133.32/x
  3. Step 3: Cross multiply
    273,999x = 411,121.62 × 174,133.32
  4. Step 4: Simplify right side
    273,999x = 71,589,972,614.38
  5. Step 5: Solve for x
    x = 71,589,972,614.38/273,999
  6. Step 6: Final answer
    x = 261,278.23

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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.