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Finding the Fourth Proportional to 305,980.96, 421,874.04 and 203,782.36

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Solution

The fourth proportional to 305,980.96, 421,874.04 and 203,782.36 is: 280,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,980.96 : 421,874.04 = 203,782.36 : x
  2. Step 2: Convert to fraction form
    305,980.96/421,874.04 = 203,782.36/x
  3. Step 3: Cross multiply
    305,980.96x = 421,874.04 × 203,782.36
  4. Step 4: Simplify right side
    305,980.96x = 85,970,485,384.56
  5. Step 5: Solve for x
    x = 85,970,485,384.56/305,980.96
  6. Step 6: Final answer
    x = 280,966.79

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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.