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Finding the Fourth Proportional to 304,156.97, 419,597.10 and 196,761.63

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Solution

The fourth proportional to 304,156.97, 419,597.10 and 196,761.63 is: 271,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,156.97 : 419,597.10 = 196,761.63 : x
  2. Step 2: Convert to fraction form
    304,156.97/419,597.10 = 196,761.63/x
  3. Step 3: Cross multiply
    304,156.97x = 419,597.10 × 196,761.63
  4. Step 4: Simplify right side
    304,156.97x = 82,560,609,339.27
  5. Step 5: Solve for x
    x = 82,560,609,339.27/304,156.97
  6. Step 6: Final answer
    x = 271,440.80

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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.