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Finding the Fourth Proportional to 494,447.40, 741,627.90 and 162,023.40

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Solution

The fourth proportional to 494,447.40, 741,627.90 and 162,023.40 is: 243,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,447.40 : 741,627.90 = 162,023.40 : x
  2. Step 2: Convert to fraction form
    494,447.40/741,627.90 = 162,023.40/x
  3. Step 3: Cross multiply
    494,447.40x = 741,627.90 × 162,023.40
  4. Step 4: Simplify right side
    494,447.40x = 120,161,073,892.86
  5. Step 5: Solve for x
    x = 120,161,073,892.86/494,447.40
  6. Step 6: Final answer
    x = 243,020.94

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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.