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Finding the Fourth Proportional to 317,119.32, 437,706.99 and 196,190.37

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Solution

The fourth proportional to 317,119.32, 437,706.99 and 196,190.37 is: 270,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,119.32 : 437,706.99 = 196,190.37 : x
  2. Step 2: Convert to fraction form
    317,119.32/437,706.99 = 196,190.37/x
  3. Step 3: Cross multiply
    317,119.32x = 437,706.99 × 196,190.37
  4. Step 4: Simplify right side
    317,119.32x = 85,873,896,319.69
  5. Step 5: Solve for x
    x = 85,873,896,319.69/317,119.32
  6. Step 6: Final answer
    x = 270,793.64

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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.