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Finding the Fourth Proportional to 281,200.20, 421,144.20 and 275,562.60

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Solution

The fourth proportional to 281,200.20, 421,144.20 and 275,562.60 is: 412,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,200.20 : 421,144.20 = 275,562.60 : x
  2. Step 2: Convert to fraction form
    281,200.20/421,144.20 = 275,562.60/x
  3. Step 3: Cross multiply
    281,200.20x = 421,144.20 × 275,562.60
  4. Step 4: Simplify right side
    281,200.20x = 116,051,590,726.92
  5. Step 5: Solve for x
    x = 116,051,590,726.92/281,200.20
  6. Step 6: Final answer
    x = 412,700.95

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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.