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Finding the Fourth Proportional to 361,296, 542,074.32 and 192,638.88

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Solution

The fourth proportional to 361,296, 542,074.32 and 192,638.88 is: 289,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296 : 542,074.32 = 192,638.88 : x
  2. Step 2: Convert to fraction form
    361,296/542,074.32 = 192,638.88/x
  3. Step 3: Cross multiply
    361,296x = 542,074.32 × 192,638.88
  4. Step 4: Simplify right side
    361,296x = 104,424,589,881.56
  5. Step 5: Solve for x
    x = 104,424,589,881.56/361,296
  6. Step 6: Final answer
    x = 289,027.81

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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.