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Finding the Fourth Proportional to 331,860.72, 457,977.24 and 180,966

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Solution

The fourth proportional to 331,860.72, 457,977.24 and 180,966 is: 249,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,860.72 : 457,977.24 = 180,966 : x
  2. Step 2: Convert to fraction form
    331,860.72/457,977.24 = 180,966/x
  3. Step 3: Cross multiply
    331,860.72x = 457,977.24 × 180,966
  4. Step 4: Simplify right side
    331,860.72x = 82,878,309,213.84
  5. Step 5: Solve for x
    x = 82,878,309,213.84/331,860.72
  6. Step 6: Final answer
    x = 249,738.23

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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.