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Finding the Fourth Proportional to 494,492.23, 741,796.26 and 157,414.78

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Solution

The fourth proportional to 494,492.23, 741,796.26 and 157,414.78 is: 236,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,492.23 : 741,796.26 = 157,414.78 : x
  2. Step 2: Convert to fraction form
    494,492.23/741,796.26 = 157,414.78/x
  3. Step 3: Cross multiply
    494,492.23x = 741,796.26 × 157,414.78
  4. Step 4: Simplify right side
    494,492.23x = 116,769,695,072.72
  5. Step 5: Solve for x
    x = 116,769,695,072.72/494,492.23
  6. Step 6: Final answer
    x = 236,140.61

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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.