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Finding the Fourth Proportional to 397,180.68, 596,195.46 and 160,677.96

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Solution

The fourth proportional to 397,180.68, 596,195.46 and 160,677.96 is: 241,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,180.68 : 596,195.46 = 160,677.96 : x
  2. Step 2: Convert to fraction form
    397,180.68/596,195.46 = 160,677.96/x
  3. Step 3: Cross multiply
    397,180.68x = 596,195.46 × 160,677.96
  4. Step 4: Simplify right side
    397,180.68x = 95,795,470,274.06
  5. Step 5: Solve for x
    x = 95,795,470,274.06/397,180.68
  6. Step 6: Final answer
    x = 241,188.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.