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Finding the Fourth Proportional to 494,493.28, 741,698.91 and 157,520.32

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Solution

The fourth proportional to 494,493.28, 741,698.91 and 157,520.32 is: 236,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,493.28 : 741,698.91 = 157,520.32 : x
  2. Step 2: Convert to fraction form
    494,493.28/741,698.91 = 157,520.32/x
  3. Step 3: Cross multiply
    494,493.28x = 741,698.91 × 157,520.32
  4. Step 4: Simplify right side
    494,493.28x = 116,832,647,792.60
  5. Step 5: Solve for x
    x = 116,832,647,792.60/494,493.28
  6. Step 6: Final answer
    x = 236,267.41

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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.