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Finding the Fourth Proportional to 462,845.57, 638,469.81 and 269,231.67

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Solution

The fourth proportional to 462,845.57, 638,469.81 and 269,231.67 is: 371,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,845.57 : 638,469.81 = 269,231.67 : x
  2. Step 2: Convert to fraction form
    462,845.57/638,469.81 = 269,231.67/x
  3. Step 3: Cross multiply
    462,845.57x = 638,469.81 × 269,231.67
  4. Step 4: Simplify right side
    462,845.57x = 171,896,293,190.88
  5. Step 5: Solve for x
    x = 171,896,293,190.88/462,845.57
  6. Step 6: Final answer
    x = 371,390.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.