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Finding the Fourth Proportional to 309,574.96, 464,066.20 and 196,906.12

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Solution

The fourth proportional to 309,574.96, 464,066.20 and 196,906.12 is: 295,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,574.96 : 464,066.20 = 196,906.12 : x
  2. Step 2: Convert to fraction form
    309,574.96/464,066.20 = 196,906.12/x
  3. Step 3: Cross multiply
    309,574.96x = 464,066.20 × 196,906.12
  4. Step 4: Simplify right side
    309,574.96x = 91,377,474,865.14
  5. Step 5: Solve for x
    x = 91,377,474,865.14/309,574.96
  6. Step 6: Final answer
    x = 295,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.