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Finding the Fourth Proportional to 412,065.44, 618,309.10 and 196,168.50

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Solution

The fourth proportional to 412,065.44, 618,309.10 and 196,168.50 is: 294,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065.44 : 618,309.10 = 196,168.50 : x
  2. Step 2: Convert to fraction form
    412,065.44/618,309.10 = 196,168.50/x
  3. Step 3: Cross multiply
    412,065.44x = 618,309.10 × 196,168.50
  4. Step 4: Simplify right side
    412,065.44x = 121,292,768,683.35
  5. Step 5: Solve for x
    x = 121,292,768,683.35/412,065.44
  6. Step 6: Final answer
    x = 294,353.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.