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Finding the Fourth Proportional to 494,425, 741,600.24 and 157,452.04

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Solution

The fourth proportional to 494,425, 741,600.24 and 157,452.04 is: 236,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,425 : 741,600.24 = 157,452.04 : x
  2. Step 2: Convert to fraction form
    494,425/741,600.24 = 157,452.04/x
  3. Step 3: Cross multiply
    494,425x = 741,600.24 × 157,452.04
  4. Step 4: Simplify right side
    494,425x = 116,766,470,652.49
  5. Step 5: Solve for x
    x = 116,766,470,652.49/494,425
  6. Step 6: Final answer
    x = 236,166.19

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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.