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Finding the Fourth Proportional to 331,843.34, 457,942.74 and 180,940.34

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Solution

The fourth proportional to 331,843.34, 457,942.74 and 180,940.34 is: 249,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,843.34 : 457,942.74 = 180,940.34 : x
  2. Step 2: Convert to fraction form
    331,843.34/457,942.74 = 180,940.34/x
  3. Step 3: Cross multiply
    331,843.34x = 457,942.74 × 180,940.34
  4. Step 4: Simplify right side
    331,843.34x = 82,860,315,076.13
  5. Step 5: Solve for x
    x = 82,860,315,076.13/331,843.34
  6. Step 6: Final answer
    x = 249,697.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.