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Finding the Fourth Proportional to 322,165.24, 444,593.52 and 176,977.14

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Solution

The fourth proportional to 322,165.24, 444,593.52 and 176,977.14 is: 244,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,165.24 : 444,593.52 = 176,977.14 : x
  2. Step 2: Convert to fraction form
    322,165.24/444,593.52 = 176,977.14/x
  3. Step 3: Cross multiply
    322,165.24x = 444,593.52 × 176,977.14
  4. Step 4: Simplify right side
    322,165.24x = 78,682,889,632.13
  5. Step 5: Solve for x
    x = 78,682,889,632.13/322,165.24
  6. Step 6: Final answer
    x = 244,231.47

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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.