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Finding the Fourth Proportional to 278,435.38, 384,174.26 and 169,538.44

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Solution

The fourth proportional to 278,435.38, 384,174.26 and 169,538.44 is: 233,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,435.38 : 384,174.26 = 169,538.44 : x
  2. Step 2: Convert to fraction form
    278,435.38/384,174.26 = 169,538.44/x
  3. Step 3: Cross multiply
    278,435.38x = 384,174.26 × 169,538.44
  4. Step 4: Simplify right side
    278,435.38x = 65,132,304,728.55
  5. Step 5: Solve for x
    x = 65,132,304,728.55/278,435.38
  6. Step 6: Final answer
    x = 233,922.52

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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.