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Finding the Fourth Proportional to 413,902.40, 620,999.40 and 203,399.60

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Solution

The fourth proportional to 413,902.40, 620,999.40 and 203,399.60 is: 305,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,902.40 : 620,999.40 = 203,399.60 : x
  2. Step 2: Convert to fraction form
    413,902.40/620,999.40 = 203,399.60/x
  3. Step 3: Cross multiply
    413,902.40x = 620,999.40 × 203,399.60
  4. Step 4: Simplify right side
    413,902.40x = 126,311,029,560.24
  5. Step 5: Solve for x
    x = 126,311,029,560.24/413,902.40
  6. Step 6: Final answer
    x = 305,171.05

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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.