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Finding the Fourth Proportional to 322,362.24, 444,833.85 and 186,405

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Solution

The fourth proportional to 322,362.24, 444,833.85 and 186,405 is: 257,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362.24 : 444,833.85 = 186,405 : x
  2. Step 2: Convert to fraction form
    322,362.24/444,833.85 = 186,405/x
  3. Step 3: Cross multiply
    322,362.24x = 444,833.85 × 186,405
  4. Step 4: Simplify right side
    322,362.24x = 82,919,253,809.25
  5. Step 5: Solve for x
    x = 82,919,253,809.25/322,362.24
  6. Step 6: Final answer
    x = 257,223.84

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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.