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Finding the Fourth Proportional to 298,057.50, 411,321.33 and 162,092.97

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Solution

The fourth proportional to 298,057.50, 411,321.33 and 162,092.97 is: 223,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,057.50 : 411,321.33 = 162,092.97 : x
  2. Step 2: Convert to fraction form
    298,057.50/411,321.33 = 162,092.97/x
  3. Step 3: Cross multiply
    298,057.50x = 411,321.33 × 162,092.97
  4. Step 4: Simplify right side
    298,057.50x = 66,672,296,004.05
  5. Step 5: Solve for x
    x = 66,672,296,004.05/298,057.50
  6. Step 6: Final answer
    x = 223,689.38

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1.5x scale

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.