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Finding the Fourth Proportional to 300,476.91, 414,939.11 and 193,233.11

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Solution

The fourth proportional to 300,476.91, 414,939.11 and 193,233.11 is: 266,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,476.91 : 414,939.11 = 193,233.11 : x
  2. Step 2: Convert to fraction form
    300,476.91/414,939.11 = 193,233.11/x
  3. Step 3: Cross multiply
    300,476.91x = 414,939.11 × 193,233.11
  4. Step 4: Simplify right side
    300,476.91x = 80,179,974,685.93
  5. Step 5: Solve for x
    x = 80,179,974,685.93/300,476.91
  6. Step 6: Final answer
    x = 266,842.38

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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.