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Finding the Fourth Proportional to 362,475.20, 543,712.80 and 269,163.20

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Solution

The fourth proportional to 362,475.20, 543,712.80 and 269,163.20 is: 403,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,475.20 : 543,712.80 = 269,163.20 : x
  2. Step 2: Convert to fraction form
    362,475.20/543,712.80 = 269,163.20/x
  3. Step 3: Cross multiply
    362,475.20x = 543,712.80 × 269,163.20
  4. Step 4: Simplify right side
    362,475.20x = 146,347,477,128.96
  5. Step 5: Solve for x
    x = 146,347,477,128.96/362,475.20
  6. Step 6: Final answer
    x = 403,744.80

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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.