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Finding the Fourth Proportional to 233,546.67, 350,742.83 and 214,793.15

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Solution

The fourth proportional to 233,546.67, 350,742.83 and 214,793.15 is: 322,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,546.67 : 350,742.83 = 214,793.15 : x
  2. Step 2: Convert to fraction form
    233,546.67/350,742.83 = 214,793.15/x
  3. Step 3: Cross multiply
    233,546.67x = 350,742.83 × 214,793.15
  4. Step 4: Simplify right side
    233,546.67x = 75,337,154,467.93
  5. Step 5: Solve for x
    x = 75,337,154,467.93/233,546.67
  6. Step 6: Final answer
    x = 322,578.59

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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.