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Finding the Fourth Proportional to 412,604.70, 618,323.85 and 254,363.10

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Solution

The fourth proportional to 412,604.70, 618,323.85 and 254,363.10 is: 381,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,604.70 : 618,323.85 = 254,363.10 : x
  2. Step 2: Convert to fraction form
    412,604.70/618,323.85 = 254,363.10/x
  3. Step 3: Cross multiply
    412,604.70x = 618,323.85 × 254,363.10
  4. Step 4: Simplify right side
    412,604.70x = 157,278,771,289.94
  5. Step 5: Solve for x
    x = 157,278,771,289.94/412,604.70
  6. Step 6: Final answer
    x = 381,185.12

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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.