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Finding the Fourth Proportional to 382,961.25, 574,704.32 and 133,643.25

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Solution

The fourth proportional to 382,961.25, 574,704.32 and 133,643.25 is: 200,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,961.25 : 574,704.32 = 133,643.25 : x
  2. Step 2: Convert to fraction form
    382,961.25/574,704.32 = 133,643.25/x
  3. Step 3: Cross multiply
    382,961.25x = 574,704.32 × 133,643.25
  4. Step 4: Simplify right side
    382,961.25x = 76,805,352,445.62
  5. Step 5: Solve for x
    x = 76,805,352,445.62/382,961.25
  6. Step 6: Final answer
    x = 200,556.46

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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.