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Finding the Fourth Proportional to 334,843.38, 462,205.17 and 221,702.58

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Solution

The fourth proportional to 334,843.38, 462,205.17 and 221,702.58 is: 306,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,843.38 : 462,205.17 = 221,702.58 : x
  2. Step 2: Convert to fraction form
    334,843.38/462,205.17 = 221,702.58/x
  3. Step 3: Cross multiply
    334,843.38x = 462,205.17 × 221,702.58
  4. Step 4: Simplify right side
    334,843.38x = 102,472,078,678.34
  5. Step 5: Solve for x
    x = 102,472,078,678.34/334,843.38
  6. Step 6: Final answer
    x = 306,029.88

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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.