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Finding the Fourth Proportional to 297,644.62, 410,749.26 and 161,678.67

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Solution

The fourth proportional to 297,644.62, 410,749.26 and 161,678.67 is: 223,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644.62 : 410,749.26 = 161,678.67 : x
  2. Step 2: Convert to fraction form
    297,644.62/410,749.26 = 161,678.67/x
  3. Step 3: Cross multiply
    297,644.62x = 410,749.26 × 161,678.67
  4. Step 4: Simplify right side
    297,644.62x = 66,409,394,060.28
  5. Step 5: Solve for x
    x = 66,409,394,060.28/297,644.62
  6. Step 6: Final answer
    x = 223,116.39

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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.