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Finding the Fourth Proportional to 323,441.73, 446,336.60 and 180,198.09

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Solution

The fourth proportional to 323,441.73, 446,336.60 and 180,198.09 is: 248,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,441.73 : 446,336.60 = 180,198.09 : x
  2. Step 2: Convert to fraction form
    323,441.73/446,336.60 = 180,198.09/x
  3. Step 3: Cross multiply
    323,441.73x = 446,336.60 × 180,198.09
  4. Step 4: Simplify right side
    323,441.73x = 80,429,001,916.10
  5. Step 5: Solve for x
    x = 80,429,001,916.10/323,441.73
  6. Step 6: Final answer
    x = 248,666.13

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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.