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Finding the Fourth Proportional to 281,151.80, 421,824.90 and 271,431.80

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Solution

The fourth proportional to 281,151.80, 421,824.90 and 271,431.80 is: 407,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,151.80 : 421,824.90 = 271,431.80 : x
  2. Step 2: Convert to fraction form
    281,151.80/421,824.90 = 271,431.80/x
  3. Step 3: Cross multiply
    281,151.80x = 421,824.90 × 271,431.80
  4. Step 4: Simplify right side
    281,151.80x = 114,496,691,891.82
  5. Step 5: Solve for x
    x = 114,496,691,891.82/281,151.80
  6. Step 6: Final answer
    x = 407,241.54

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1.5x scale

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.