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Finding the Fourth Proportional to 274,644.33, 411,633.83 and 116,540.64

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Solution

The fourth proportional to 274,644.33, 411,633.83 and 116,540.64 is: 174,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.33 : 411,633.83 = 116,540.64 : x
  2. Step 2: Convert to fraction form
    274,644.33/411,633.83 = 116,540.64/x
  3. Step 3: Cross multiply
    274,644.33x = 411,633.83 × 116,540.64
  4. Step 4: Simplify right side
    274,644.33x = 47,972,069,411.15
  5. Step 5: Solve for x
    x = 47,972,069,411.15/274,644.33
  6. Step 6: Final answer
    x = 174,669.80

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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.