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Finding the Fourth Proportional to 339,338, 468,329.64 and 205,202.96

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Solution

The fourth proportional to 339,338, 468,329.64 and 205,202.96 is: 283,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,338 : 468,329.64 = 205,202.96 : x
  2. Step 2: Convert to fraction form
    339,338/468,329.64 = 205,202.96/x
  3. Step 3: Cross multiply
    339,338x = 468,329.64 × 205,202.96
  4. Step 4: Simplify right side
    339,338x = 96,102,628,383.73
  5. Step 5: Solve for x
    x = 96,102,628,383.73/339,338
  6. Step 6: Final answer
    x = 283,206.21

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Why These Related Problems?

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