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Finding the Fourth Proportional to 494,441.14, 741,416.11 and 157,437.80

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Solution

The fourth proportional to 494,441.14, 741,416.11 and 157,437.80 is: 236,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,441.14 : 741,416.11 = 157,437.80 : x
  2. Step 2: Convert to fraction form
    494,441.14/741,416.11 = 157,437.80/x
  3. Step 3: Cross multiply
    494,441.14x = 741,416.11 × 157,437.80
  4. Step 4: Simplify right side
    494,441.14x = 116,726,921,242.96
  5. Step 5: Solve for x
    x = 116,726,921,242.96/494,441.14
  6. Step 6: Final answer
    x = 236,078.50

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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.