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Finding the Fourth Proportional to 412,201.20, 618,496.20 and 307,225.20

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Solution

The fourth proportional to 412,201.20, 618,496.20 and 307,225.20 is: 460,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,201.20 : 618,496.20 = 307,225.20 : x
  2. Step 2: Convert to fraction form
    412,201.20/618,496.20 = 307,225.20/x
  3. Step 3: Cross multiply
    412,201.20x = 618,496.20 × 307,225.20
  4. Step 4: Simplify right side
    412,201.20x = 190,017,618,744.24
  5. Step 5: Solve for x
    x = 190,017,618,744.24/412,201.20
  6. Step 6: Final answer
    x = 460,982.69

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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.