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Finding the Fourth Proportional to 322,123.31, 444,539.49 and 184,324.64

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Solution

The fourth proportional to 322,123.31, 444,539.49 and 184,324.64 is: 254,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,123.31 : 444,539.49 = 184,324.64 : x
  2. Step 2: Convert to fraction form
    322,123.31/444,539.49 = 184,324.64/x
  3. Step 3: Cross multiply
    322,123.31x = 444,539.49 × 184,324.64
  4. Step 4: Simplify right side
    322,123.31x = 81,939,582,571.38
  5. Step 5: Solve for x
    x = 81,939,582,571.38/322,123.31
  6. Step 6: Final answer
    x = 254,373.34

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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.