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Finding the Fourth Proportional to 294,478.20, 441,910.98 and 161,451.90

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Solution

The fourth proportional to 294,478.20, 441,910.98 and 161,451.90 is: 242,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,478.20 : 441,910.98 = 161,451.90 : x
  2. Step 2: Convert to fraction form
    294,478.20/441,910.98 = 161,451.90/x
  3. Step 3: Cross multiply
    294,478.20x = 441,910.98 × 161,451.90
  4. Step 4: Simplify right side
    294,478.20x = 71,347,367,351.86
  5. Step 5: Solve for x
    x = 71,347,367,351.86/294,478.20
  6. Step 6: Final answer
    x = 242,284.04

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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.