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Finding the Fourth Proportional to 412,704.64, 569,556.12 and 231,474.70

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Solution

The fourth proportional to 412,704.64, 569,556.12 and 231,474.70 is: 319,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,704.64 : 569,556.12 = 231,474.70 : x
  2. Step 2: Convert to fraction form
    412,704.64/569,556.12 = 231,474.70/x
  3. Step 3: Cross multiply
    412,704.64x = 569,556.12 × 231,474.70
  4. Step 4: Simplify right side
    412,704.64x = 131,837,832,010.16
  5. Step 5: Solve for x
    x = 131,837,832,010.16/412,704.64
  6. Step 6: Final answer
    x = 319,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.