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Finding the Fourth Proportional to 294,223.87, 406,016.98 and 166,896.73

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Solution

The fourth proportional to 294,223.87, 406,016.98 and 166,896.73 is: 230,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,223.87 : 406,016.98 = 166,896.73 : x
  2. Step 2: Convert to fraction form
    294,223.87/406,016.98 = 166,896.73/x
  3. Step 3: Cross multiply
    294,223.87x = 406,016.98 × 166,896.73
  4. Step 4: Simplify right side
    294,223.87x = 67,762,906,286.48
  5. Step 5: Solve for x
    x = 67,762,906,286.48/294,223.87
  6. Step 6: Final answer
    x = 230,310.70

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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.