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Finding the Fourth Proportional to 577,660.44, 866,410.32 and 178,314.24

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Solution

The fourth proportional to 577,660.44, 866,410.32 and 178,314.24 is: 267,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,660.44 : 866,410.32 = 178,314.24 : x
  2. Step 2: Convert to fraction form
    577,660.44/866,410.32 = 178,314.24/x
  3. Step 3: Cross multiply
    577,660.44x = 866,410.32 × 178,314.24
  4. Step 4: Simplify right side
    577,660.44x = 154,493,297,738.96
  5. Step 5: Solve for x
    x = 154,493,297,738.96/577,660.44
  6. Step 6: Final answer
    x = 267,446.56

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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.