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Finding the Fourth Proportional to 323,624, 446,616.44 and 180,385.04

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Solution

The fourth proportional to 323,624, 446,616.44 and 180,385.04 is: 248,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,624 : 446,616.44 = 180,385.04 : x
  2. Step 2: Convert to fraction form
    323,624/446,616.44 = 180,385.04/x
  3. Step 3: Cross multiply
    323,624x = 446,616.44 × 180,385.04
  4. Step 4: Simplify right side
    323,624x = 80,562,924,394.06
  5. Step 5: Solve for x
    x = 80,562,924,394.06/323,624
  6. Step 6: Final answer
    x = 248,939.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.