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Finding the Fourth Proportional to 463,761.84, 640,007.16 and 259,821.36

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Solution

The fourth proportional to 463,761.84, 640,007.16 and 259,821.36 is: 358,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,761.84 : 640,007.16 = 259,821.36 : x
  2. Step 2: Convert to fraction form
    463,761.84/640,007.16 = 259,821.36/x
  3. Step 3: Cross multiply
    463,761.84x = 640,007.16 × 259,821.36
  4. Step 4: Simplify right side
    463,761.84x = 166,287,530,720.94
  5. Step 5: Solve for x
    x = 166,287,530,720.94/463,761.84
  6. Step 6: Final answer
    x = 358,562.34

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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.