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Finding the Fourth Proportional to 304,156.84, 419,596.92 and 196,761.51

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Solution

The fourth proportional to 304,156.84, 419,596.92 and 196,761.51 is: 271,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,156.84 : 419,596.92 = 196,761.51 : x
  2. Step 2: Convert to fraction form
    304,156.84/419,596.92 = 196,761.51/x
  3. Step 3: Cross multiply
    304,156.84x = 419,596.92 × 196,761.51
  4. Step 4: Simplify right side
    304,156.84x = 82,560,523,570.55
  5. Step 5: Solve for x
    x = 82,560,523,570.55/304,156.84
  6. Step 6: Final answer
    x = 271,440.63

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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.