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Finding the Fourth Proportional to 332,803.23, 499,056.89 and 206,438.37

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Solution

The fourth proportional to 332,803.23, 499,056.89 and 206,438.37 is: 309,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,803.23 : 499,056.89 = 206,438.37 : x
  2. Step 2: Convert to fraction form
    332,803.23/499,056.89 = 206,438.37/x
  3. Step 3: Cross multiply
    332,803.23x = 499,056.89 × 206,438.37
  4. Step 4: Simplify right side
    332,803.23x = 103,024,489,876.68
  5. Step 5: Solve for x
    x = 103,024,489,876.68/332,803.23
  6. Step 6: Final answer
    x = 309,565.78

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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.