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Finding the Fourth Proportional to 323,604.90, 446,576.84 and 180,374.03

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Solution

The fourth proportional to 323,604.90, 446,576.84 and 180,374.03 is: 248,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,604.90 : 446,576.84 = 180,374.03 : x
  2. Step 2: Convert to fraction form
    323,604.90/446,576.84 = 180,374.03/x
  3. Step 3: Cross multiply
    323,604.90x = 446,576.84 × 180,374.03
  4. Step 4: Simplify right side
    323,604.90x = 80,550,861,200.71
  5. Step 5: Solve for x
    x = 80,550,861,200.71/323,604.90
  6. Step 6: Final answer
    x = 248,917.31

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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.