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Finding the Fourth Proportional to 496,012.67, 742,757.01 and 327,020.27

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Solution

The fourth proportional to 496,012.67, 742,757.01 and 327,020.27 is: 489,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,012.67 : 742,757.01 = 327,020.27 : x
  2. Step 2: Convert to fraction form
    496,012.67/742,757.01 = 327,020.27/x
  3. Step 3: Cross multiply
    496,012.67x = 742,757.01 × 327,020.27
  4. Step 4: Simplify right side
    496,012.67x = 242,896,601,015.81
  5. Step 5: Solve for x
    x = 242,896,601,015.81/496,012.67
  6. Step 6: Final answer
    x = 489,698.38

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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.