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Finding the Fourth Proportional to 293,896.27, 405,581.27 and 164,863.34

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Solution

The fourth proportional to 293,896.27, 405,581.27 and 164,863.34 is: 227,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.27 : 405,581.27 = 164,863.34 : x
  2. Step 2: Convert to fraction form
    293,896.27/405,581.27 = 164,863.34/x
  3. Step 3: Cross multiply
    293,896.27x = 405,581.27 × 164,863.34
  4. Step 4: Simplify right side
    293,896.27x = 66,865,482,813.64
  5. Step 5: Solve for x
    x = 66,865,482,813.64/293,896.27
  6. Step 6: Final answer
    x = 227,513.89

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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.