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Finding the Fourth Proportional to 327,466.80, 491,200.20 and 284,164.20

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Solution

The fourth proportional to 327,466.80, 491,200.20 and 284,164.20 is: 426,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,466.80 : 491,200.20 = 284,164.20 : x
  2. Step 2: Convert to fraction form
    327,466.80/491,200.20 = 284,164.20/x
  3. Step 3: Cross multiply
    327,466.80x = 491,200.20 × 284,164.20
  4. Step 4: Simplify right side
    327,466.80x = 139,581,511,872.84
  5. Step 5: Solve for x
    x = 139,581,511,872.84/327,466.80
  6. Step 6: Final answer
    x = 426,246.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.