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Finding the Fourth Proportional to 304,295.83, 419,786.76 and 196,900.54

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Solution

The fourth proportional to 304,295.83, 419,786.76 and 196,900.54 is: 271,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,295.83 : 419,786.76 = 196,900.54 : x
  2. Step 2: Convert to fraction form
    304,295.83/419,786.76 = 196,900.54/x
  3. Step 3: Cross multiply
    304,295.83x = 419,786.76 × 196,900.54
  4. Step 4: Simplify right side
    304,295.83x = 82,656,239,728.85
  5. Step 5: Solve for x
    x = 82,656,239,728.85/304,295.83
  6. Step 6: Final answer
    x = 271,631.19

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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.