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Finding the Fourth Proportional to 301,027.54, 415,402.01 and 171,940.66

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Solution

The fourth proportional to 301,027.54, 415,402.01 and 171,940.66 is: 237,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,027.54 : 415,402.01 = 171,940.66 : x
  2. Step 2: Convert to fraction form
    301,027.54/415,402.01 = 171,940.66/x
  3. Step 3: Cross multiply
    301,027.54x = 415,402.01 × 171,940.66
  4. Step 4: Simplify right side
    301,027.54x = 71,424,495,764.73
  5. Step 5: Solve for x
    x = 71,424,495,764.73/301,027.54
  6. Step 6: Final answer
    x = 237,268.97

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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.