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Finding the Fourth Proportional to 341,876.91, 471,714.36 and 196,673.78

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Solution

The fourth proportional to 341,876.91, 471,714.36 and 196,673.78 is: 271,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,876.91 : 471,714.36 = 196,673.78 : x
  2. Step 2: Convert to fraction form
    341,876.91/471,714.36 = 196,673.78/x
  3. Step 3: Cross multiply
    341,876.91x = 471,714.36 × 196,673.78
  4. Step 4: Simplify right side
    341,876.91x = 92,773,843,902.91
  5. Step 5: Solve for x
    x = 92,773,843,902.91/341,876.91
  6. Step 6: Final answer
    x = 271,366.22

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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.