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Finding the Fourth Proportional to 412,692.22, 619,213.29 and 225,485.02

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Solution

The fourth proportional to 412,692.22, 619,213.29 and 225,485.02 is: 338,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,692.22 : 619,213.29 = 225,485.02 : x
  2. Step 2: Convert to fraction form
    412,692.22/619,213.29 = 225,485.02/x
  3. Step 3: Cross multiply
    412,692.22x = 619,213.29 × 225,485.02
  4. Step 4: Simplify right side
    412,692.22x = 139,623,321,079.92
  5. Step 5: Solve for x
    x = 139,623,321,079.92/412,692.22
  6. Step 6: Final answer
    x = 338,323.12

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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.