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Finding the Fourth Proportional to 340,640.41, 470,061.26 and 204,593.52

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Solution

The fourth proportional to 340,640.41, 470,061.26 and 204,593.52 is: 282,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,640.41 : 470,061.26 = 204,593.52 : x
  2. Step 2: Convert to fraction form
    340,640.41/470,061.26 = 204,593.52/x
  3. Step 3: Cross multiply
    340,640.41x = 470,061.26 × 204,593.52
  4. Step 4: Simplify right side
    340,640.41x = 96,171,485,960.21
  5. Step 5: Solve for x
    x = 96,171,485,960.21/340,640.41
  6. Step 6: Final answer
    x = 282,325.53

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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.