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Finding the Fourth Proportional to 494,463.54, 741,449.94 and 157,460.28

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Solution

The fourth proportional to 494,463.54, 741,449.94 and 157,460.28 is: 236,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,463.54 : 741,449.94 = 157,460.28 : x
  2. Step 2: Convert to fraction form
    494,463.54/741,449.94 = 157,460.28/x
  3. Step 3: Cross multiply
    494,463.54x = 741,449.94 × 157,460.28
  4. Step 4: Simplify right side
    494,463.54x = 116,748,915,158.38
  5. Step 5: Solve for x
    x = 116,748,915,158.38/494,463.54
  6. Step 6: Final answer
    x = 236,112.28

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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.