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Finding the Fourth Proportional to 234,634.98, 322,597.32 and 208,896.42

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Solution

The fourth proportional to 234,634.98, 322,597.32 and 208,896.42 is: 287,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,634.98 : 322,597.32 = 208,896.42 : x
  2. Step 2: Convert to fraction form
    234,634.98/322,597.32 = 208,896.42/x
  3. Step 3: Cross multiply
    234,634.98x = 322,597.32 × 208,896.42
  4. Step 4: Simplify right side
    234,634.98x = 67,389,425,249.59
  5. Step 5: Solve for x
    x = 67,389,425,249.59/234,634.98
  6. Step 6: Final answer
    x = 287,209.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.