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Finding the Fourth Proportional to 281,747.20, 421,843.20 and 219,539.20

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Solution

The fourth proportional to 281,747.20, 421,843.20 and 219,539.20 is: 328,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,747.20 : 421,843.20 = 219,539.20 : x
  2. Step 2: Convert to fraction form
    281,747.20/421,843.20 = 219,539.20/x
  3. Step 3: Cross multiply
    281,747.20x = 421,843.20 × 219,539.20
  4. Step 4: Simplify right side
    281,747.20x = 92,611,118,653.44
  5. Step 5: Solve for x
    x = 92,611,118,653.44/281,747.20
  6. Step 6: Final answer
    x = 328,702.89

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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.