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Finding the Fourth Proportional to 412,144.36, 617,202.78 and 201,101.80

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Solution

The fourth proportional to 412,144.36, 617,202.78 and 201,101.80 is: 301,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,144.36 : 617,202.78 = 201,101.80 : x
  2. Step 2: Convert to fraction form
    412,144.36/617,202.78 = 201,101.80/x
  3. Step 3: Cross multiply
    412,144.36x = 617,202.78 × 201,101.80
  4. Step 4: Simplify right side
    412,144.36x = 124,120,590,023.00
  5. Step 5: Solve for x
    x = 124,120,590,023.00/412,144.36
  6. Step 6: Final answer
    x = 301,158.05

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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.