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Finding the Fourth Proportional to 333,478.26, 499,910.86 and 120,193.97

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Solution

The fourth proportional to 333,478.26, 499,910.86 and 120,193.97 is: 180,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,478.26 : 499,910.86 = 120,193.97 : x
  2. Step 2: Convert to fraction form
    333,478.26/499,910.86 = 120,193.97/x
  3. Step 3: Cross multiply
    333,478.26x = 499,910.86 × 120,193.97
  4. Step 4: Simplify right side
    333,478.26x = 60,086,268,409.96
  5. Step 5: Solve for x
    x = 60,086,268,409.96/333,478.26
  6. Step 6: Final answer
    x = 180,180.47

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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.