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Finding the Fourth Proportional to 294,171.27, 405,997.80 and 171,703.83

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Solution

The fourth proportional to 294,171.27, 405,997.80 and 171,703.83 is: 236,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,171.27 : 405,997.80 = 171,703.83 : x
  2. Step 2: Convert to fraction form
    294,171.27/405,997.80 = 171,703.83/x
  3. Step 3: Cross multiply
    294,171.27x = 405,997.80 × 171,703.83
  4. Step 4: Simplify right side
    294,171.27x = 69,711,377,231.57
  5. Step 5: Solve for x
    x = 69,711,377,231.57/294,171.27
  6. Step 6: Final answer
    x = 236,975.48

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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.