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Finding the Fourth Proportional to 274,389.32, 411,571.62 and 114,399.33

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Solution

The fourth proportional to 274,389.32, 411,571.62 and 114,399.33 is: 171,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,389.32 : 411,571.62 = 114,399.33 : x
  2. Step 2: Convert to fraction form
    274,389.32/411,571.62 = 114,399.33/x
  3. Step 3: Cross multiply
    274,389.32x = 411,571.62 × 114,399.33
  4. Step 4: Simplify right side
    274,389.32x = 47,083,517,575.01
  5. Step 5: Solve for x
    x = 47,083,517,575.01/274,389.32
  6. Step 6: Final answer
    x = 171,593.84

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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.