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Finding the Fourth Proportional to 298,378.23, 411,725.43 and 177,524.61

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Solution

The fourth proportional to 298,378.23, 411,725.43 and 177,524.61 is: 244,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.23 : 411,725.43 = 177,524.61 : x
  2. Step 2: Convert to fraction form
    298,378.23/411,725.43 = 177,524.61/x
  3. Step 3: Cross multiply
    298,378.23x = 411,725.43 × 177,524.61
  4. Step 4: Simplify right side
    298,378.23x = 73,091,396,387.83
  5. Step 5: Solve for x
    x = 73,091,396,387.83/298,378.23
  6. Step 6: Final answer
    x = 244,962.23

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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.