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Finding the Fourth Proportional to 412,434.80, 618,652.20 and 362,571.20

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Solution

The fourth proportional to 412,434.80, 618,652.20 and 362,571.20 is: 543,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,434.80 : 618,652.20 = 362,571.20 : x
  2. Step 2: Convert to fraction form
    412,434.80/618,652.20 = 362,571.20/x
  3. Step 3: Cross multiply
    412,434.80x = 618,652.20 × 362,571.20
  4. Step 4: Simplify right side
    412,434.80x = 224,305,470,536.64
  5. Step 5: Solve for x
    x = 224,305,470,536.64/412,434.80
  6. Step 6: Final answer
    x = 543,856.80

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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.