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Finding the Fourth Proportional to 442,204.86, 662,834.31 and 228,757.92

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Solution

The fourth proportional to 442,204.86, 662,834.31 and 228,757.92 is: 342,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,204.86 : 662,834.31 = 228,757.92 : x
  2. Step 2: Convert to fraction form
    442,204.86/662,834.31 = 228,757.92/x
  3. Step 3: Cross multiply
    442,204.86x = 662,834.31 × 228,757.92
  4. Step 4: Simplify right side
    442,204.86x = 151,628,598,060.24
  5. Step 5: Solve for x
    x = 151,628,598,060.24/442,204.86
  6. Step 6: Final answer
    x = 342,892.20

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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.