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Finding the Fourth Proportional to 301,007.91, 415,672.11 and 193,764.33

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Solution

The fourth proportional to 301,007.91, 415,672.11 and 193,764.33 is: 267,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,007.91 : 415,672.11 = 193,764.33 : x
  2. Step 2: Convert to fraction form
    301,007.91/415,672.11 = 193,764.33/x
  3. Step 3: Cross multiply
    301,007.91x = 415,672.11 × 193,764.33
  4. Step 4: Simplify right side
    301,007.91x = 80,542,427,893.84
  5. Step 5: Solve for x
    x = 80,542,427,893.84/301,007.91
  6. Step 6: Final answer
    x = 267,575.79

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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.