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Finding the Fourth Proportional to 382,693.44, 574,394.85 and 193,286.82

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Solution

The fourth proportional to 382,693.44, 574,394.85 and 193,286.82 is: 290,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,693.44 : 574,394.85 = 193,286.82 : x
  2. Step 2: Convert to fraction form
    382,693.44/574,394.85 = 193,286.82/x
  3. Step 3: Cross multiply
    382,693.44x = 574,394.85 × 193,286.82
  4. Step 4: Simplify right side
    382,693.44x = 111,022,953,980.88
  5. Step 5: Solve for x
    x = 111,022,953,980.88/382,693.44
  6. Step 6: Final answer
    x = 290,109.37

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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.