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Finding the Fourth Proportional to 494,596.52, 741,972 and 157,712.68

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Solution

The fourth proportional to 494,596.52, 741,972 and 157,712.68 is: 236,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,596.52 : 741,972 = 157,712.68 : x
  2. Step 2: Convert to fraction form
    494,596.52/741,972 = 157,712.68/x
  3. Step 3: Cross multiply
    494,596.52x = 741,972 × 157,712.68
  4. Step 4: Simplify right side
    494,596.52x = 117,018,392,604.96
  5. Step 5: Solve for x
    x = 117,018,392,604.96/494,596.52
  6. Step 6: Final answer
    x = 236,593.64

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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.