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Finding the Fourth Proportional to 295,234.20, 442,195.20 and 228,457.80

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Solution

The fourth proportional to 295,234.20, 442,195.20 and 228,457.80 is: 342,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,234.20 : 442,195.20 = 228,457.80 : x
  2. Step 2: Convert to fraction form
    295,234.20/442,195.20 = 228,457.80/x
  3. Step 3: Cross multiply
    295,234.20x = 442,195.20 × 228,457.80
  4. Step 4: Simplify right side
    295,234.20x = 101,022,942,562.56
  5. Step 5: Solve for x
    x = 101,022,942,562.56/295,234.20
  6. Step 6: Final answer
    x = 342,179.00

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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.