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Finding the Fourth Proportional to 456,123.30, 629,431.56 and 252,161.24

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Solution

The fourth proportional to 456,123.30, 629,431.56 and 252,161.24 is: 347,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,123.30 : 629,431.56 = 252,161.24 : x
  2. Step 2: Convert to fraction form
    456,123.30/629,431.56 = 252,161.24/x
  3. Step 3: Cross multiply
    456,123.30x = 629,431.56 × 252,161.24
  4. Step 4: Simplify right side
    456,123.30x = 158,718,242,664.73
  5. Step 5: Solve for x
    x = 158,718,242,664.73/456,123.30
  6. Step 6: Final answer
    x = 347,972.23

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