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Finding the Fourth Proportional to 300,299.68, 414,385.34 and 203,306.23

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Solution

The fourth proportional to 300,299.68, 414,385.34 and 203,306.23 is: 280,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,299.68 : 414,385.34 = 203,306.23 : x
  2. Step 2: Convert to fraction form
    300,299.68/414,385.34 = 203,306.23/x
  3. Step 3: Cross multiply
    300,299.68x = 414,385.34 × 203,306.23
  4. Step 4: Simplify right side
    300,299.68x = 84,247,121,242.67
  5. Step 5: Solve for x
    x = 84,247,121,242.67/300,299.68
  6. Step 6: Final answer
    x = 280,543.49

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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.