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Finding the Fourth Proportional to 420,613.24, 580,424.31 and 229,589.72

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Solution

The fourth proportional to 420,613.24, 580,424.31 and 229,589.72 is: 316,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,613.24 : 580,424.31 = 229,589.72 : x
  2. Step 2: Convert to fraction form
    420,613.24/580,424.31 = 229,589.72/x
  3. Step 3: Cross multiply
    420,613.24x = 580,424.31 × 229,589.72
  4. Step 4: Simplify right side
    420,613.24x = 133,259,457,353.45
  5. Step 5: Solve for x
    x = 133,259,457,353.45/420,613.24
  6. Step 6: Final answer
    x = 316,821.83

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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.