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Finding the Fourth Proportional to 494,500.40, 741,707.40 and 162,076.40

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Solution

The fourth proportional to 494,500.40, 741,707.40 and 162,076.40 is: 243,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,500.40 : 741,707.40 = 162,076.40 : x
  2. Step 2: Convert to fraction form
    494,500.40/741,707.40 = 162,076.40/x
  3. Step 3: Cross multiply
    494,500.40x = 741,707.40 × 162,076.40
  4. Step 4: Simplify right side
    494,500.40x = 120,213,265,245.36
  5. Step 5: Solve for x
    x = 120,213,265,245.36/494,500.40
  6. Step 6: Final answer
    x = 243,100.44

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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.