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Finding the Fourth Proportional to 442,754.76, 664,451.28 and 176,361.16

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Solution

The fourth proportional to 442,754.76, 664,451.28 and 176,361.16 is: 264,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,754.76 : 664,451.28 = 176,361.16 : x
  2. Step 2: Convert to fraction form
    442,754.76/664,451.28 = 176,361.16/x
  3. Step 3: Cross multiply
    442,754.76x = 664,451.28 × 176,361.16
  4. Step 4: Simplify right side
    442,754.76x = 117,183,398,504.29
  5. Step 5: Solve for x
    x = 117,183,398,504.29/442,754.76
  6. Step 6: Final answer
    x = 264,668.86

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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.