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Finding the Fourth Proportional to 494,448.40, 741,629.40 and 162,024.40

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Solution

The fourth proportional to 494,448.40, 741,629.40 and 162,024.40 is: 243,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,448.40 : 741,629.40 = 162,024.40 : x
  2. Step 2: Convert to fraction form
    494,448.40/741,629.40 = 162,024.40/x
  3. Step 3: Cross multiply
    494,448.40x = 741,629.40 × 162,024.40
  4. Step 4: Simplify right side
    494,448.40x = 120,162,058,557.36
  5. Step 5: Solve for x
    x = 120,162,058,557.36/494,448.40
  6. Step 6: Final answer
    x = 243,022.44

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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.