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Finding the Fourth Proportional to 297,015.97, 409,881.60 and 161,049.67

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Solution

The fourth proportional to 297,015.97, 409,881.60 and 161,049.67 is: 222,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,015.97 : 409,881.60 = 161,049.67 : x
  2. Step 2: Convert to fraction form
    297,015.97/409,881.60 = 161,049.67/x
  3. Step 3: Cross multiply
    297,015.97x = 409,881.60 × 161,049.67
  4. Step 4: Simplify right side
    297,015.97x = 66,011,296,419.07
  5. Step 5: Solve for x
    x = 66,011,296,419.07/297,015.97
  6. Step 6: Final answer
    x = 222,248.31

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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.