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Finding the Fourth Proportional to 363,342, 501,412 and 204,366

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Solution

The fourth proportional to 363,342, 501,412 and 204,366 is: 282,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,342 : 501,412 = 204,366 : x
  2. Step 2: Convert to fraction form
    363,342/501,412 = 204,366/x
  3. Step 3: Cross multiply
    363,342x = 501,412 × 204,366
  4. Step 4: Simplify right side
    363,342x = 102,471,564,792
  5. Step 5: Solve for x
    x = 102,471,564,792/363,342
  6. Step 6: Final answer
    x = 282,025.10

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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.