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Finding the Fourth Proportional to 362,405.70, 543,171.15 and 184,821.30

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Solution

The fourth proportional to 362,405.70, 543,171.15 and 184,821.30 is: 277,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,405.70 : 543,171.15 = 184,821.30 : x
  2. Step 2: Convert to fraction form
    362,405.70/543,171.15 = 184,821.30/x
  3. Step 3: Cross multiply
    362,405.70x = 543,171.15 × 184,821.30
  4. Step 4: Simplify right side
    362,405.70x = 100,389,598,065.50
  5. Step 5: Solve for x
    x = 100,389,598,065.50/362,405.70
  6. Step 6: Final answer
    x = 277,008.88

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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.