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Finding the Fourth Proportional to 456,023.38, 629,287.68 and 252,062.14

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Solution

The fourth proportional to 456,023.38, 629,287.68 and 252,062.14 is: 347,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,023.38 : 629,287.68 = 252,062.14 : x
  2. Step 2: Convert to fraction form
    456,023.38/629,287.68 = 252,062.14/x
  3. Step 3: Cross multiply
    456,023.38x = 629,287.68 × 252,062.14
  4. Step 4: Simplify right side
    456,023.38x = 158,619,599,296.44
  5. Step 5: Solve for x
    x = 158,619,599,296.44/456,023.38
  6. Step 6: Final answer
    x = 347,832.16

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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.