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Finding the Fourth Proportional to 460,061.43, 691,098.16 and 327,791.67

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Solution

The fourth proportional to 460,061.43, 691,098.16 and 327,791.67 is: 492,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,061.43 : 691,098.16 = 327,791.67 : x
  2. Step 2: Convert to fraction form
    460,061.43/691,098.16 = 327,791.67/x
  3. Step 3: Cross multiply
    460,061.43x = 691,098.16 × 327,791.67
  4. Step 4: Simplify right side
    460,061.43x = 226,536,220,000.33
  5. Step 5: Solve for x
    x = 226,536,220,000.33/460,061.43
  6. Step 6: Final answer
    x = 492,404.29

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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.