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Finding the Fourth Proportional to 456,650.21, 682,175.16 and 329,202.78

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Solution

The fourth proportional to 456,650.21, 682,175.16 and 329,202.78 is: 491,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,650.21 : 682,175.16 = 329,202.78 : x
  2. Step 2: Convert to fraction form
    456,650.21/682,175.16 = 329,202.78/x
  3. Step 3: Cross multiply
    456,650.21x = 682,175.16 × 329,202.78
  4. Step 4: Simplify right side
    456,650.21x = 224,573,959,118.95
  5. Step 5: Solve for x
    x = 224,573,959,118.95/456,650.21
  6. Step 6: Final answer
    x = 491,785.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.