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Finding the Fourth Proportional to 299,690.83, 413,581.46 and 178,902.22

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Solution

The fourth proportional to 299,690.83, 413,581.46 and 178,902.22 is: 246,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,690.83 : 413,581.46 = 178,902.22 : x
  2. Step 2: Convert to fraction form
    299,690.83/413,581.46 = 178,902.22/x
  3. Step 3: Cross multiply
    299,690.83x = 413,581.46 × 178,902.22
  4. Step 4: Simplify right side
    299,690.83x = 73,990,641,198.17
  5. Step 5: Solve for x
    x = 73,990,641,198.17/299,690.83
  6. Step 6: Final answer
    x = 246,889.91

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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.