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Finding the Fourth Proportional to 293,382, 404,868.24 and 159,246

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Solution

The fourth proportional to 293,382, 404,868.24 and 159,246 is: 219,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,382 : 404,868.24 = 159,246 : x
  2. Step 2: Convert to fraction form
    293,382/404,868.24 = 159,246/x
  3. Step 3: Cross multiply
    293,382x = 404,868.24 × 159,246
  4. Step 4: Simplify right side
    293,382x = 64,473,647,747.04
  5. Step 5: Solve for x
    x = 64,473,647,747.04/293,382
  6. Step 6: Final answer
    x = 219,760.07

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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.