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Finding the Fourth Proportional to 420,400.20, 580,147.50 and 229,416.84

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Solution

The fourth proportional to 420,400.20, 580,147.50 and 229,416.84 is: 316,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400.20 : 580,147.50 = 229,416.84 : x
  2. Step 2: Convert to fraction form
    420,400.20/580,147.50 = 229,416.84/x
  3. Step 3: Cross multiply
    420,400.20x = 580,147.50 × 229,416.84
  4. Step 4: Simplify right side
    420,400.20x = 133,095,606,183.90
  5. Step 5: Solve for x
    x = 133,095,606,183.90/420,400.20
  6. Step 6: Final answer
    x = 316,592.63

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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.