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Finding the Fourth Proportional to 308,841.89, 463,395.96 and 119,435.54

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Solution

The fourth proportional to 308,841.89, 463,395.96 and 119,435.54 is: 179,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,841.89 : 463,395.96 = 119,435.54 : x
  2. Step 2: Convert to fraction form
    308,841.89/463,395.96 = 119,435.54/x
  3. Step 3: Cross multiply
    308,841.89x = 463,395.96 × 119,435.54
  4. Step 4: Simplify right side
    308,841.89x = 55,345,944,399.44
  5. Step 5: Solve for x
    x = 55,345,944,399.44/308,841.89
  6. Step 6: Final answer
    x = 179,204.79

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Why These Related Problems?

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