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Finding the Fourth Proportional to 272,311.30, 408,466.95 and 202,327.30

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Solution

The fourth proportional to 272,311.30, 408,466.95 and 202,327.30 is: 303,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,311.30 : 408,466.95 = 202,327.30 : x
  2. Step 2: Convert to fraction form
    272,311.30/408,466.95 = 202,327.30/x
  3. Step 3: Cross multiply
    272,311.30x = 408,466.95 × 202,327.30
  4. Step 4: Simplify right side
    272,311.30x = 82,644,015,132.74
  5. Step 5: Solve for x
    x = 82,644,015,132.74/272,311.30
  6. Step 6: Final answer
    x = 303,490.95

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