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Finding the Fourth Proportional to 412,441.98, 569,169.17 and 231,153.86

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Solution

The fourth proportional to 412,441.98, 569,169.17 and 231,153.86 is: 318,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,441.98 : 569,169.17 = 231,153.86 : x
  2. Step 2: Convert to fraction form
    412,441.98/569,169.17 = 231,153.86/x
  3. Step 3: Cross multiply
    412,441.98x = 569,169.17 × 231,153.86
  4. Step 4: Simplify right side
    412,441.98x = 131,565,648,570.90
  5. Step 5: Solve for x
    x = 131,565,648,570.90/412,441.98
  6. Step 6: Final answer
    x = 318,991.90

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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.