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Finding the Fourth Proportional to 304,414.84, 419,908.80 and 201,049.66

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Solution

The fourth proportional to 304,414.84, 419,908.80 and 201,049.66 is: 277,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,414.84 : 419,908.80 = 201,049.66 : x
  2. Step 2: Convert to fraction form
    304,414.84/419,908.80 = 201,049.66/x
  3. Step 3: Cross multiply
    304,414.84x = 419,908.80 × 201,049.66
  4. Step 4: Simplify right side
    304,414.84x = 84,422,521,471.01
  5. Step 5: Solve for x
    x = 84,422,521,471.01/304,414.84
  6. Step 6: Final answer
    x = 277,327.22

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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.