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Finding the Fourth Proportional to 341,714.20, 512,474.43 and 141,787.21

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Solution

The fourth proportional to 341,714.20, 512,474.43 and 141,787.21 is: 212,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,714.20 : 512,474.43 = 141,787.21 : x
  2. Step 2: Convert to fraction form
    341,714.20/512,474.43 = 141,787.21/x
  3. Step 3: Cross multiply
    341,714.20x = 512,474.43 × 141,787.21
  4. Step 4: Simplify right side
    341,714.20x = 72,662,319,626.04
  5. Step 5: Solve for x
    x = 72,662,319,626.04/341,714.20
  6. Step 6: Final answer
    x = 212,640.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.