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Finding the Fourth Proportional to 386,786.43, 533,774.52 and 217,033.11

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Solution

The fourth proportional to 386,786.43, 533,774.52 and 217,033.11 is: 299,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,786.43 : 533,774.52 = 217,033.11 : x
  2. Step 2: Convert to fraction form
    386,786.43/533,774.52 = 217,033.11/x
  3. Step 3: Cross multiply
    386,786.43x = 533,774.52 × 217,033.11
  4. Step 4: Simplify right side
    386,786.43x = 115,846,744,114.36
  5. Step 5: Solve for x
    x = 115,846,744,114.36/386,786.43
  6. Step 6: Final answer
    x = 299,510.88

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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.