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Finding the Fourth Proportional to 420,418.20, 629,705.70 and 365,122.20

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Solution

The fourth proportional to 420,418.20, 629,705.70 and 365,122.20 is: 546,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418.20 : 629,705.70 = 365,122.20 : x
  2. Step 2: Convert to fraction form
    420,418.20/629,705.70 = 365,122.20/x
  3. Step 3: Cross multiply
    420,418.20x = 629,705.70 × 365,122.20
  4. Step 4: Simplify right side
    420,418.20x = 229,919,530,536.54
  5. Step 5: Solve for x
    x = 229,919,530,536.54/420,418.20
  6. Step 6: Final answer
    x = 546,882.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.