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Finding the Fourth Proportional to 463,107.69, 639,122.94 and 259,179.03

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Solution

The fourth proportional to 463,107.69, 639,122.94 and 259,179.03 is: 357,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,107.69 : 639,122.94 = 259,179.03 : x
  2. Step 2: Convert to fraction form
    463,107.69/639,122.94 = 259,179.03/x
  3. Step 3: Cross multiply
    463,107.69x = 639,122.94 × 259,179.03
  4. Step 4: Simplify right side
    463,107.69x = 165,647,263,639.95
  5. Step 5: Solve for x
    x = 165,647,263,639.95/463,107.69
  6. Step 6: Final answer
    x = 357,686.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.