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Finding the Fourth Proportional to 323,476.48, 446,391.61 and 180,233.43

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Solution

The fourth proportional to 323,476.48, 446,391.61 and 180,233.43 is: 248,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,476.48 : 446,391.61 = 180,233.43 : x
  2. Step 2: Convert to fraction form
    323,476.48/446,391.61 = 180,233.43/x
  3. Step 3: Cross multiply
    323,476.48x = 446,391.61 × 180,233.43
  4. Step 4: Simplify right side
    323,476.48x = 80,454,690,993.52
  5. Step 5: Solve for x
    x = 80,454,690,993.52/323,476.48
  6. Step 6: Final answer
    x = 248,718.83

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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.