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Finding the Fourth Proportional to 272,892.40, 409,338.60 and 271,142.80

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Solution

The fourth proportional to 272,892.40, 409,338.60 and 271,142.80 is: 406,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,892.40 : 409,338.60 = 271,142.80 : x
  2. Step 2: Convert to fraction form
    272,892.40/409,338.60 = 271,142.80/x
  3. Step 3: Cross multiply
    272,892.40x = 409,338.60 × 271,142.80
  4. Step 4: Simplify right side
    272,892.40x = 110,989,214,152.08
  5. Step 5: Solve for x
    x = 110,989,214,152.08/272,892.40
  6. Step 6: Final answer
    x = 406,714.20

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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.