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Finding the Fourth Proportional to 296,134.56, 408,675.36 and 161,998.56

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Solution

The fourth proportional to 296,134.56, 408,675.36 and 161,998.56 is: 223,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,134.56 : 408,675.36 = 161,998.56 : x
  2. Step 2: Convert to fraction form
    296,134.56/408,675.36 = 161,998.56/x
  3. Step 3: Cross multiply
    296,134.56x = 408,675.36 × 161,998.56
  4. Step 4: Simplify right side
    296,134.56x = 66,204,819,827.48
  5. Step 5: Solve for x
    x = 66,204,819,827.48/296,134.56
  6. Step 6: Final answer
    x = 223,563.30

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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.