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Finding the Fourth Proportional to 409,105.35, 613,754.61 and 128,622.60

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Solution

The fourth proportional to 409,105.35, 613,754.61 and 128,622.60 is: 192,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,105.35 : 613,754.61 = 128,622.60 : x
  2. Step 2: Convert to fraction form
    409,105.35/613,754.61 = 128,622.60/x
  3. Step 3: Cross multiply
    409,105.35x = 613,754.61 × 128,622.60
  4. Step 4: Simplify right side
    409,105.35x = 78,942,713,700.19
  5. Step 5: Solve for x
    x = 78,942,713,700.19/409,105.35
  6. Step 6: Final answer
    x = 192,964.27

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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.