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Finding the Fourth Proportional to 420,200.30, 629,134.05 and 408,536.30

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Solution

The fourth proportional to 420,200.30, 629,134.05 and 408,536.30 is: 611,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.30 : 629,134.05 = 408,536.30 : x
  2. Step 2: Convert to fraction form
    420,200.30/629,134.05 = 408,536.30/x
  3. Step 3: Cross multiply
    420,200.30x = 629,134.05 × 408,536.30
  4. Step 4: Simplify right side
    420,200.30x = 257,024,096,991.02
  5. Step 5: Solve for x
    x = 257,024,096,991.02/420,200.30
  6. Step 6: Final answer
    x = 611,670.43

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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.