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Finding the Fourth Proportional to 296,098.20, 443,491.20 and 229,321.80

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Solution

The fourth proportional to 296,098.20, 443,491.20 and 229,321.80 is: 343,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,098.20 : 443,491.20 = 229,321.80 : x
  2. Step 2: Convert to fraction form
    296,098.20/443,491.20 = 229,321.80/x
  3. Step 3: Cross multiply
    296,098.20x = 443,491.20 × 229,321.80
  4. Step 4: Simplify right side
    296,098.20x = 101,702,200,268.16
  5. Step 5: Solve for x
    x = 101,702,200,268.16/296,098.20
  6. Step 6: Final answer
    x = 343,474.56

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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.