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Finding the Fourth Proportional to 293,350, 404,824.08 and 159,214

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Solution

The fourth proportional to 293,350, 404,824.08 and 159,214 is: 219,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,350 : 404,824.08 = 159,214 : x
  2. Step 2: Convert to fraction form
    293,350/404,824.08 = 159,214/x
  3. Step 3: Cross multiply
    293,350x = 404,824.08 × 159,214
  4. Step 4: Simplify right side
    293,350x = 64,453,661,073.12
  5. Step 5: Solve for x
    x = 64,453,661,073.12/293,350
  6. Step 6: Final answer
    x = 219,715.91

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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.