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Finding the Fourth Proportional to 347,902.56, 522,029.04 and 259,333.92

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Solution

The fourth proportional to 347,902.56, 522,029.04 and 259,333.92 is: 389,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,902.56 : 522,029.04 = 259,333.92 : x
  2. Step 2: Convert to fraction form
    347,902.56/522,029.04 = 259,333.92/x
  3. Step 3: Cross multiply
    347,902.56x = 522,029.04 × 259,333.92
  4. Step 4: Simplify right side
    347,902.56x = 135,379,837,297.04
  5. Step 5: Solve for x
    x = 135,379,837,297.04/347,902.56
  6. Step 6: Final answer
    x = 389,131.48

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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.