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Finding the Fourth Proportional to 305,385.44, 421,445.20 and 203,247.68

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Solution

The fourth proportional to 305,385.44, 421,445.20 and 203,247.68 is: 280,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,385.44 : 421,445.20 = 203,247.68 : x
  2. Step 2: Convert to fraction form
    305,385.44/421,445.20 = 203,247.68/x
  3. Step 3: Cross multiply
    305,385.44x = 421,445.20 × 203,247.68
  4. Step 4: Simplify right side
    305,385.44x = 85,657,759,147.14
  5. Step 5: Solve for x
    x = 85,657,759,147.14/305,385.44
  6. Step 6: Final answer
    x = 280,490.65

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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.