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Finding the Fourth Proportional to 420,888, 580,822 and 229,901.44

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Solution

The fourth proportional to 420,888, 580,822 and 229,901.44 is: 317,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,888 : 580,822 = 229,901.44 : x
  2. Step 2: Convert to fraction form
    420,888/580,822 = 229,901.44/x
  3. Step 3: Cross multiply
    420,888x = 580,822 × 229,901.44
  4. Step 4: Simplify right side
    420,888x = 133,531,814,183.68
  5. Step 5: Solve for x
    x = 133,531,814,183.68/420,888
  6. Step 6: Final answer
    x = 317,262.11

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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.