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Finding the Fourth Proportional to 397,769.91, 596,654.85 and 327,501.60

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Solution

The fourth proportional to 397,769.91, 596,654.85 and 327,501.60 is: 491,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,769.91 : 596,654.85 = 327,501.60 : x
  2. Step 2: Convert to fraction form
    397,769.91/596,654.85 = 327,501.60/x
  3. Step 3: Cross multiply
    397,769.91x = 596,654.85 × 327,501.60
  4. Step 4: Simplify right side
    397,769.91x = 195,405,418,022.76
  5. Step 5: Solve for x
    x = 195,405,418,022.76/397,769.91
  6. Step 6: Final answer
    x = 491,252.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.