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Finding the Fourth Proportional to 338,796.28, 467,558.22 and 204,703.48

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Solution

The fourth proportional to 338,796.28, 467,558.22 and 204,703.48 is: 282,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,796.28 : 467,558.22 = 204,703.48 : x
  2. Step 2: Convert to fraction form
    338,796.28/467,558.22 = 204,703.48/x
  3. Step 3: Cross multiply
    338,796.28x = 467,558.22 × 204,703.48
  4. Step 4: Simplify right side
    338,796.28x = 95,710,794,736.61
  5. Step 5: Solve for x
    x = 95,710,794,736.61/338,796.28
  6. Step 6: Final answer
    x = 282,502.50

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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.