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Finding the Fourth Proportional to 296,191.82, 444,015.14 and 161,058.46

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Solution

The fourth proportional to 296,191.82, 444,015.14 and 161,058.46 is: 241,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,191.82 : 444,015.14 = 161,058.46 : x
  2. Step 2: Convert to fraction form
    296,191.82/444,015.14 = 161,058.46/x
  3. Step 3: Cross multiply
    296,191.82x = 444,015.14 × 161,058.46
  4. Step 4: Simplify right side
    296,191.82x = 71,512,392,749.75
  5. Step 5: Solve for x
    x = 71,512,392,749.75/296,191.82
  6. Step 6: Final answer
    x = 241,439.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.