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Finding the Fourth Proportional to 362,439.80, 543,125.10 and 262,809.80

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Solution

The fourth proportional to 362,439.80, 543,125.10 and 262,809.80 is: 393,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,439.80 : 543,125.10 = 262,809.80 : x
  2. Step 2: Convert to fraction form
    362,439.80/543,125.10 = 262,809.80/x
  3. Step 3: Cross multiply
    362,439.80x = 543,125.10 × 262,809.80
  4. Step 4: Simplify right side
    362,439.80x = 142,738,598,905.98
  5. Step 5: Solve for x
    x = 142,738,598,905.98/362,439.80
  6. Step 6: Final answer
    x = 393,827.05

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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.