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Finding the Fourth Proportional to 397,867.83, 596,891.96 and 131,627.93

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Solution

The fourth proportional to 397,867.83, 596,891.96 and 131,627.93 is: 197,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,867.83 : 596,891.96 = 131,627.93 : x
  2. Step 2: Convert to fraction form
    397,867.83/596,891.96 = 131,627.93/x
  3. Step 3: Cross multiply
    397,867.83x = 596,891.96 × 131,627.93
  4. Step 4: Simplify right side
    397,867.83x = 78,567,649,485.84
  5. Step 5: Solve for x
    x = 78,567,649,485.84/397,867.83
  6. Step 6: Final answer
    x = 197,471.73

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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.