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Finding the Fourth Proportional to 456,022.38, 629,286.30 and 252,061.14

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Solution

The fourth proportional to 456,022.38, 629,286.30 and 252,061.14 is: 347,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,022.38 : 629,286.30 = 252,061.14 : x
  2. Step 2: Convert to fraction form
    456,022.38/629,286.30 = 252,061.14/x
  3. Step 3: Cross multiply
    456,022.38x = 629,286.30 × 252,061.14
  4. Step 4: Simplify right side
    456,022.38x = 158,618,622,164.38
  5. Step 5: Solve for x
    x = 158,618,622,164.38/456,022.38
  6. Step 6: Final answer
    x = 347,830.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.