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Finding the Fourth Proportional to 826,408.32, 1,239,449.12 and 227,214.88

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Solution

The fourth proportional to 826,408.32, 1,239,449.12 and 227,214.88 is: 340,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,408.32 : 1,239,449.12 = 227,214.88 : x
  2. Step 2: Convert to fraction form
    826,408.32/1,239,449.12 = 227,214.88/x
  3. Step 3: Cross multiply
    826,408.32x = 1,239,449.12 × 227,214.88
  4. Step 4: Simplify right side
    826,408.32x = 281,621,283,066.91
  5. Step 5: Solve for x
    x = 281,621,283,066.91/826,408.32
  6. Step 6: Final answer
    x = 340,777.41

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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.