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Finding the Fourth Proportional to 331,167, 457,010.52 and 180,264

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Solution

The fourth proportional to 331,167, 457,010.52 and 180,264 is: 248,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,167 : 457,010.52 = 180,264 : x
  2. Step 2: Convert to fraction form
    331,167/457,010.52 = 180,264/x
  3. Step 3: Cross multiply
    331,167x = 457,010.52 × 180,264
  4. Step 4: Simplify right side
    331,167x = 82,382,544,377.28
  5. Step 5: Solve for x
    x = 82,382,544,377.28/331,167
  6. Step 6: Final answer
    x = 248,764.35

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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.