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Finding the Fourth Proportional to 379,069.56, 568,414.14 and 126,261.14

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Solution

The fourth proportional to 379,069.56, 568,414.14 and 126,261.14 is: 189,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,069.56 : 568,414.14 = 126,261.14 : x
  2. Step 2: Convert to fraction form
    379,069.56/568,414.14 = 126,261.14/x
  3. Step 3: Cross multiply
    379,069.56x = 568,414.14 × 126,261.14
  4. Step 4: Simplify right side
    379,069.56x = 71,768,617,308.52
  5. Step 5: Solve for x
    x = 71,768,617,308.52/379,069.56
  6. Step 6: Final answer
    x = 189,328.36

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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.