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Finding the Fourth Proportional to 494,493.23, 741,797.76 and 157,415.78

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Solution

The fourth proportional to 494,493.23, 741,797.76 and 157,415.78 is: 236,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,493.23 : 741,797.76 = 157,415.78 : x
  2. Step 2: Convert to fraction form
    494,493.23/741,797.76 = 157,415.78/x
  3. Step 3: Cross multiply
    494,493.23x = 741,797.76 × 157,415.78
  4. Step 4: Simplify right side
    494,493.23x = 116,770,672,992.65
  5. Step 5: Solve for x
    x = 116,770,672,992.65/494,493.23
  6. Step 6: Final answer
    x = 236,142.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.