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Finding the Fourth Proportional to 304,003.64, 419,517.70 and 166,176.44

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Solution

The fourth proportional to 304,003.64, 419,517.70 and 166,176.44 is: 229,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,003.64 : 419,517.70 = 166,176.44 : x
  2. Step 2: Convert to fraction form
    304,003.64/419,517.70 = 166,176.44/x
  3. Step 3: Cross multiply
    304,003.64x = 419,517.70 × 166,176.44
  4. Step 4: Simplify right side
    304,003.64x = 69,713,957,902.99
  5. Step 5: Solve for x
    x = 69,713,957,902.99/304,003.64
  6. Step 6: Final answer
    x = 229,319.48

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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.