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Finding the Fourth Proportional to 297,502.80, 410,561 and 161,542.48

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Solution

The fourth proportional to 297,502.80, 410,561 and 161,542.48 is: 222,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502.80 : 410,561 = 161,542.48 : x
  2. Step 2: Convert to fraction form
    297,502.80/410,561 = 161,542.48/x
  3. Step 3: Cross multiply
    297,502.80x = 410,561 × 161,542.48
  4. Step 4: Simplify right side
    297,502.80x = 66,323,042,131.28
  5. Step 5: Solve for x
    x = 66,323,042,131.28/297,502.80
  6. Step 6: Final answer
    x = 222,932.50

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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.