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Finding the Fourth Proportional to 281,711.52, 422,664.48 and 176,405.04

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Solution

The fourth proportional to 281,711.52, 422,664.48 and 176,405.04 is: 264,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,711.52 : 422,664.48 = 176,405.04 : x
  2. Step 2: Convert to fraction form
    281,711.52/422,664.48 = 176,405.04/x
  3. Step 3: Cross multiply
    281,711.52x = 422,664.48 × 176,405.04
  4. Step 4: Simplify right side
    281,711.52x = 74,560,144,500.98
  5. Step 5: Solve for x
    x = 74,560,144,500.98/281,711.52
  6. Step 6: Final answer
    x = 264,668.43

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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.