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Finding the Fourth Proportional to 362,847.60, 543,817.80 and 185,425.20

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Solution

The fourth proportional to 362,847.60, 543,817.80 and 185,425.20 is: 277,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,847.60 : 543,817.80 = 185,425.20 : x
  2. Step 2: Convert to fraction form
    362,847.60/543,817.80 = 185,425.20/x
  3. Step 3: Cross multiply
    362,847.60x = 543,817.80 × 185,425.20
  4. Step 4: Simplify right side
    362,847.60x = 100,837,524,328.56
  5. Step 5: Solve for x
    x = 100,837,524,328.56/362,847.60
  6. Step 6: Final answer
    x = 277,906.00

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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.