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Finding the Fourth Proportional to 397,593.46, 596,507.74 and 229,234.56

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Solution

The fourth proportional to 397,593.46, 596,507.74 and 229,234.56 is: 343,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,593.46 : 596,507.74 = 229,234.56 : x
  2. Step 2: Convert to fraction form
    397,593.46/596,507.74 = 229,234.56/x
  3. Step 3: Cross multiply
    397,593.46x = 596,507.74 × 229,234.56
  4. Step 4: Simplify right side
    397,593.46x = 136,740,187,794.95
  5. Step 5: Solve for x
    x = 136,740,187,794.95/397,593.46
  6. Step 6: Final answer
    x = 343,919.61

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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.