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Finding the Fourth Proportional to 419,963.10, 629,944.65 and 411,215.10

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Solution

The fourth proportional to 419,963.10, 629,944.65 and 411,215.10 is: 616,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,963.10 : 629,944.65 = 411,215.10 : x
  2. Step 2: Convert to fraction form
    419,963.10/629,944.65 = 411,215.10/x
  3. Step 3: Cross multiply
    419,963.10x = 629,944.65 × 411,215.10
  4. Step 4: Simplify right side
    419,963.10x = 259,042,752,244.22
  5. Step 5: Solve for x
    x = 259,042,752,244.22/419,963.10
  6. Step 6: Final answer
    x = 616,822.65

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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.