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Finding the Fourth Proportional to 323,285.98, 446,148.49 and 180,046.03

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Solution

The fourth proportional to 323,285.98, 446,148.49 and 180,046.03 is: 248,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,285.98 : 446,148.49 = 180,046.03 : x
  2. Step 2: Convert to fraction form
    323,285.98/446,148.49 = 180,046.03/x
  3. Step 3: Cross multiply
    323,285.98x = 446,148.49 × 180,046.03
  4. Step 4: Simplify right side
    323,285.98x = 80,327,264,414.99
  5. Step 5: Solve for x
    x = 80,327,264,414.99/323,285.98
  6. Step 6: Final answer
    x = 248,471.23

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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.