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Finding the Fourth Proportional to 341,614, 471,553.12 and 205,654.26

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Solution

The fourth proportional to 341,614, 471,553.12 and 205,654.26 is: 283,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,614 : 471,553.12 = 205,654.26 : x
  2. Step 2: Convert to fraction form
    341,614/471,553.12 = 205,654.26/x
  3. Step 3: Cross multiply
    341,614x = 471,553.12 × 205,654.26
  4. Step 4: Simplify right side
    341,614x = 96,976,907,944.29
  5. Step 5: Solve for x
    x = 96,976,907,944.29/341,614
  6. Step 6: Final answer
    x = 283,878.61

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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.