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Finding the Fourth Proportional to 298,439.73, 411,842.73 and 162,474.84

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Solution

The fourth proportional to 298,439.73, 411,842.73 and 162,474.84 is: 224,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,439.73 : 411,842.73 = 162,474.84 : x
  2. Step 2: Convert to fraction form
    298,439.73/411,842.73 = 162,474.84/x
  3. Step 3: Cross multiply
    298,439.73x = 411,842.73 × 162,474.84
  4. Step 4: Simplify right side
    298,439.73x = 66,914,081,661.91
  5. Step 5: Solve for x
    x = 66,914,081,661.91/298,439.73
  6. Step 6: Final answer
    x = 224,213.05

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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.