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Finding the Fourth Proportional to 509,704.92, 706,662.09 and 481,361.40

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Solution

The fourth proportional to 509,704.92, 706,662.09 and 481,361.40 is: 667,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,704.92 : 706,662.09 = 481,361.40 : x
  2. Step 2: Convert to fraction form
    509,704.92/706,662.09 = 481,361.40/x
  3. Step 3: Cross multiply
    509,704.92x = 706,662.09 × 481,361.40
  4. Step 4: Simplify right side
    509,704.92x = 340,159,852,969.33
  5. Step 5: Solve for x
    x = 340,159,852,969.33/509,704.92
  6. Step 6: Final answer
    x = 667,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.