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Finding the Fourth Proportional to 323,638.38, 446,626.80 and 180,383.04

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Solution

The fourth proportional to 323,638.38, 446,626.80 and 180,383.04 is: 248,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638.38 : 446,626.80 = 180,383.04 : x
  2. Step 2: Convert to fraction form
    323,638.38/446,626.80 = 180,383.04/x
  3. Step 3: Cross multiply
    323,638.38x = 446,626.80 × 180,383.04
  4. Step 4: Simplify right side
    323,638.38x = 80,563,899,929.47
  5. Step 5: Solve for x
    x = 80,563,899,929.47/323,638.38
  6. Step 6: Final answer
    x = 248,931.85

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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.