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Finding the Fourth Proportional to 298,784.96, 412,141.93 and 177,845.48

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Solution

The fourth proportional to 298,784.96, 412,141.93 and 177,845.48 is: 245,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,784.96 : 412,141.93 = 177,845.48 : x
  2. Step 2: Convert to fraction form
    298,784.96/412,141.93 = 177,845.48/x
  3. Step 3: Cross multiply
    298,784.96x = 412,141.93 × 177,845.48
  4. Step 4: Simplify right side
    298,784.96x = 73,297,576,863.65
  5. Step 5: Solve for x
    x = 73,297,576,863.65/298,784.96
  6. Step 6: Final answer
    x = 245,318.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.