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Finding the Fourth Proportional to 412,064.96, 618,308.39 and 196,168.01

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Solution

The fourth proportional to 412,064.96, 618,308.39 and 196,168.01 is: 294,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,064.96 : 618,308.39 = 196,168.01 : x
  2. Step 2: Convert to fraction form
    412,064.96/618,308.39 = 196,168.01/x
  3. Step 3: Cross multiply
    412,064.96x = 618,308.39 × 196,168.01
  4. Step 4: Simplify right side
    412,064.96x = 121,292,325,451.76
  5. Step 5: Solve for x
    x = 121,292,325,451.76/412,064.96
  6. Step 6: Final answer
    x = 294,352.44

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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.