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Finding the Fourth Proportional to 271,704.24, 407,425.28 and 113,890.32

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Solution

The fourth proportional to 271,704.24, 407,425.28 and 113,890.32 is: 170,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704.24 : 407,425.28 = 113,890.32 : x
  2. Step 2: Convert to fraction form
    271,704.24/407,425.28 = 113,890.32/x
  3. Step 3: Cross multiply
    271,704.24x = 407,425.28 × 113,890.32
  4. Step 4: Simplify right side
    271,704.24x = 46,401,795,515.29
  5. Step 5: Solve for x
    x = 46,401,795,515.29/271,704.24
  6. Step 6: Final answer
    x = 170,780.54

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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.