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Finding the Fourth Proportional to 331,896.50, 458,051.73 and 204,568.82

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Solution

The fourth proportional to 331,896.50, 458,051.73 and 204,568.82 is: 282,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,896.50 : 458,051.73 = 204,568.82 : x
  2. Step 2: Convert to fraction form
    331,896.50/458,051.73 = 204,568.82/x
  3. Step 3: Cross multiply
    331,896.50x = 458,051.73 × 204,568.82
  4. Step 4: Simplify right side
    331,896.50x = 93,703,101,905.06
  5. Step 5: Solve for x
    x = 93,703,101,905.06/331,896.50
  6. Step 6: Final answer
    x = 282,326.27

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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.