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Finding the Fourth Proportional to 412,604.20, 618,323.10 and 254,362.60

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Solution

The fourth proportional to 412,604.20, 618,323.10 and 254,362.60 is: 381,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,604.20 : 618,323.10 = 254,362.60 : x
  2. Step 2: Convert to fraction form
    412,604.20/618,323.10 = 254,362.60/x
  3. Step 3: Cross multiply
    412,604.20x = 618,323.10 × 254,362.60
  4. Step 4: Simplify right side
    412,604.20x = 157,278,271,356.06
  5. Step 5: Solve for x
    x = 157,278,271,356.06/412,604.20
  6. Step 6: Final answer
    x = 381,184.37

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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.