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Finding the Fourth Proportional to 362,199.61, 499,826.26 and 198,855.30

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Solution

The fourth proportional to 362,199.61, 499,826.26 and 198,855.30 is: 274,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,199.61 : 499,826.26 = 198,855.30 : x
  2. Step 2: Convert to fraction form
    362,199.61/499,826.26 = 198,855.30/x
  3. Step 3: Cross multiply
    362,199.61x = 499,826.26 × 198,855.30
  4. Step 4: Simplify right side
    362,199.61x = 99,393,100,880.18
  5. Step 5: Solve for x
    x = 99,393,100,880.18/362,199.61
  6. Step 6: Final answer
    x = 274,415.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.