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Finding the Fourth Proportional to 322,172.24, 444,571.68 and 186,215

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Solution

The fourth proportional to 322,172.24, 444,571.68 and 186,215 is: 256,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,172.24 : 444,571.68 = 186,215 : x
  2. Step 2: Convert to fraction form
    322,172.24/444,571.68 = 186,215/x
  3. Step 3: Cross multiply
    322,172.24x = 444,571.68 × 186,215
  4. Step 4: Simplify right side
    322,172.24x = 82,785,915,391.20
  5. Step 5: Solve for x
    x = 82,785,915,391.20/322,172.24
  6. Step 6: Final answer
    x = 256,961.67

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1.5x scale

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.