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Finding the Fourth Proportional to 412,415.24, 569,172.98 and 231,157.96

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Solution

The fourth proportional to 412,415.24, 569,172.98 and 231,157.96 is: 319,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,415.24 : 569,172.98 = 231,157.96 : x
  2. Step 2: Convert to fraction form
    412,415.24/569,172.98 = 231,157.96/x
  3. Step 3: Cross multiply
    412,415.24x = 569,172.98 × 231,157.96
  4. Step 4: Simplify right side
    412,415.24x = 131,568,864,943.92
  5. Step 5: Solve for x
    x = 131,568,864,943.92/412,415.24
  6. Step 6: Final answer
    x = 319,020.38

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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.