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Finding the Fourth Proportional to 323,425.68, 446,327.34 and 180,194.88

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Solution

The fourth proportional to 323,425.68, 446,327.34 and 180,194.88 is: 248,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,425.68 : 446,327.34 = 180,194.88 : x
  2. Step 2: Convert to fraction form
    323,425.68/446,327.34 = 180,194.88/x
  3. Step 3: Cross multiply
    323,425.68x = 446,327.34 × 180,194.88
  4. Step 4: Simplify right side
    323,425.68x = 80,425,901,472.02
  5. Step 5: Solve for x
    x = 80,425,901,472.02/323,425.68
  6. Step 6: Final answer
    x = 248,668.88

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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.