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Finding the Fourth Proportional to 294,092.57, 405,833.39 and 166,743.56

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Solution

The fourth proportional to 294,092.57, 405,833.39 and 166,743.56 is: 230,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,092.57 : 405,833.39 = 166,743.56 : x
  2. Step 2: Convert to fraction form
    294,092.57/405,833.39 = 166,743.56/x
  3. Step 3: Cross multiply
    294,092.57x = 405,833.39 × 166,743.56
  4. Step 4: Simplify right side
    294,092.57x = 67,670,105,021.62
  5. Step 5: Solve for x
    x = 67,670,105,021.62/294,092.57
  6. Step 6: Final answer
    x = 230,097.97

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1.5x scale

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.