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Finding the Fourth Proportional to 305,556.20, 421,745.06 and 208,799.22

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Solution

The fourth proportional to 305,556.20, 421,745.06 and 208,799.22 is: 288,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,556.20 : 421,745.06 = 208,799.22 : x
  2. Step 2: Convert to fraction form
    305,556.20/421,745.06 = 208,799.22/x
  3. Step 3: Cross multiply
    305,556.20x = 421,745.06 × 208,799.22
  4. Step 4: Simplify right side
    305,556.20x = 88,060,039,298.08
  5. Step 5: Solve for x
    x = 88,060,039,298.08/305,556.20
  6. Step 6: Final answer
    x = 288,195.89

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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.