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Finding the Fourth Proportional to 410,446.23, 566,427.09 and 229,151.22

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Solution

The fourth proportional to 410,446.23, 566,427.09 and 229,151.22 is: 316,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,446.23 : 566,427.09 = 229,151.22 : x
  2. Step 2: Convert to fraction form
    410,446.23/566,427.09 = 229,151.22/x
  3. Step 3: Cross multiply
    410,446.23x = 566,427.09 × 229,151.22
  4. Step 4: Simplify right side
    410,446.23x = 129,797,458,714.55
  5. Step 5: Solve for x
    x = 129,797,458,714.55/410,446.23
  6. Step 6: Final answer
    x = 316,234.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.