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Finding the Fourth Proportional to 281,314.73, 421,680.49 and 175,891.61

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Solution

The fourth proportional to 281,314.73, 421,680.49 and 175,891.61 is: 263,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,314.73 : 421,680.49 = 175,891.61 : x
  2. Step 2: Convert to fraction form
    281,314.73/421,680.49 = 175,891.61/x
  3. Step 3: Cross multiply
    281,314.73x = 421,680.49 × 175,891.61
  4. Step 4: Simplify right side
    281,314.73x = 74,170,060,291.69
  5. Step 5: Solve for x
    x = 74,170,060,291.69/281,314.73
  6. Step 6: Final answer
    x = 263,655.09

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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.