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Finding the Fourth Proportional to 299,102.40, 449,344.80 and 205,790.40

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Solution

The fourth proportional to 299,102.40, 449,344.80 and 205,790.40 is: 309,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,102.40 : 449,344.80 = 205,790.40 : x
  2. Step 2: Convert to fraction form
    299,102.40/449,344.80 = 205,790.40/x
  3. Step 3: Cross multiply
    299,102.40x = 449,344.80 × 205,790.40
  4. Step 4: Simplify right side
    299,102.40x = 92,470,846,129.92
  5. Step 5: Solve for x
    x = 92,470,846,129.92/299,102.40
  6. Step 6: Final answer
    x = 309,161.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.