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Finding the Fourth Proportional to 293,295, 404,747.46 and 159,159

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Solution

The fourth proportional to 293,295, 404,747.46 and 159,159 is: 219,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,295 : 404,747.46 = 159,159 : x
  2. Step 2: Convert to fraction form
    293,295/404,747.46 = 159,159/x
  3. Step 3: Cross multiply
    293,295x = 404,747.46 × 159,159
  4. Step 4: Simplify right side
    293,295x = 64,419,200,986.14
  5. Step 5: Solve for x
    x = 64,419,200,986.14/293,295
  6. Step 6: Final answer
    x = 219,639.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.