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Finding the Fourth Proportional to 375,786.46, 518,617.96 and 206,053.39

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Solution

The fourth proportional to 375,786.46, 518,617.96 and 206,053.39 is: 284,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,786.46 : 518,617.96 = 206,053.39 : x
  2. Step 2: Convert to fraction form
    375,786.46/518,617.96 = 206,053.39/x
  3. Step 3: Cross multiply
    375,786.46x = 518,617.96 × 206,053.39
  4. Step 4: Simplify right side
    375,786.46x = 106,862,987,742.62
  5. Step 5: Solve for x
    x = 106,862,987,742.62/375,786.46
  6. Step 6: Final answer
    x = 284,371.58

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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.