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Finding the Fourth Proportional to 281,635.20, 421,675.20 and 219,427.20

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Solution

The fourth proportional to 281,635.20, 421,675.20 and 219,427.20 is: 328,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,635.20 : 421,675.20 = 219,427.20 : x
  2. Step 2: Convert to fraction form
    281,635.20/421,675.20 = 219,427.20/x
  3. Step 3: Cross multiply
    281,635.20x = 421,675.20 × 219,427.20
  4. Step 4: Simplify right side
    281,635.20x = 92,527,008,445.44
  5. Step 5: Solve for x
    x = 92,527,008,445.44/281,635.20
  6. Step 6: Final answer
    x = 328,534.96

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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.