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Finding the Fourth Proportional to 456,082.36, 629,389.40 and 252,138.56

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Solution

The fourth proportional to 456,082.36, 629,389.40 and 252,138.56 is: 347,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,082.36 : 629,389.40 = 252,138.56 : x
  2. Step 2: Convert to fraction form
    456,082.36/629,389.40 = 252,138.56/x
  3. Step 3: Cross multiply
    456,082.36x = 629,389.40 × 252,138.56
  4. Step 4: Simplify right side
    456,082.36x = 158,693,336,995.26
  5. Step 5: Solve for x
    x = 158,693,336,995.26/456,082.36
  6. Step 6: Final answer
    x = 347,948.86

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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.