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Finding the Fourth Proportional to 323,371.56, 446,266.56 and 180,131.70

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Solution

The fourth proportional to 323,371.56, 446,266.56 and 180,131.70 is: 248,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,371.56 : 446,266.56 = 180,131.70 : x
  2. Step 2: Convert to fraction form
    323,371.56/446,266.56 = 180,131.70/x
  3. Step 3: Cross multiply
    323,371.56x = 446,266.56 × 180,131.70
  4. Step 4: Simplify right side
    323,371.56x = 80,386,754,105.95
  5. Step 5: Solve for x
    x = 80,386,754,105.95/323,371.56
  6. Step 6: Final answer
    x = 248,589.44

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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.