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Finding the Fourth Proportional to 305,107.09, 421,215.37 and 208,456.27

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Solution

The fourth proportional to 305,107.09, 421,215.37 and 208,456.27 is: 287,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.09 : 421,215.37 = 208,456.27 : x
  2. Step 2: Convert to fraction form
    305,107.09/421,215.37 = 208,456.27/x
  3. Step 3: Cross multiply
    305,107.09x = 421,215.37 × 208,456.27
  4. Step 4: Simplify right side
    305,107.09x = 87,804,983,322.69
  5. Step 5: Solve for x
    x = 87,804,983,322.69/305,107.09
  6. Step 6: Final answer
    x = 287,784.15

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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.