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Finding the Fourth Proportional to 456,638.90, 682,158.30 and 329,191.47

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Solution

The fourth proportional to 456,638.90, 682,158.30 and 329,191.47 is: 491,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,638.90 : 682,158.30 = 329,191.47 : x
  2. Step 2: Convert to fraction form
    456,638.90/682,158.30 = 329,191.47/x
  3. Step 3: Cross multiply
    456,638.90x = 682,158.30 × 329,191.47
  4. Step 4: Simplify right side
    456,638.90x = 224,560,693,549.70
  5. Step 5: Solve for x
    x = 224,560,693,549.70/456,638.90
  6. Step 6: Final answer
    x = 491,768.65

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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.