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Finding the Fourth Proportional to 419,905.10, 629,857.65 and 414,008.30

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Solution

The fourth proportional to 419,905.10, 629,857.65 and 414,008.30 is: 621,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905.10 : 629,857.65 = 414,008.30 : x
  2. Step 2: Convert to fraction form
    419,905.10/629,857.65 = 414,008.30/x
  3. Step 3: Cross multiply
    419,905.10x = 629,857.65 × 414,008.30
  4. Step 4: Simplify right side
    419,905.10x = 260,766,294,918.50
  5. Step 5: Solve for x
    x = 260,766,294,918.50/419,905.10
  6. Step 6: Final answer
    x = 621,012.45

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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.