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Finding the Fourth Proportional to 361,338.84, 498,634.37 and 208,383.48

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Solution

The fourth proportional to 361,338.84, 498,634.37 and 208,383.48 is: 287,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,338.84 : 498,634.37 = 208,383.48 : x
  2. Step 2: Convert to fraction form
    361,338.84/498,634.37 = 208,383.48/x
  3. Step 3: Cross multiply
    361,338.84x = 498,634.37 × 208,383.48
  4. Step 4: Simplify right side
    361,338.84x = 103,907,164,226.29
  5. Step 5: Solve for x
    x = 103,907,164,226.29/361,338.84
  6. Step 6: Final answer
    x = 287,561.57

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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.