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Finding the Fourth Proportional to 362,893.20, 543,902.40 and 185,308.80

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Solution

The fourth proportional to 362,893.20, 543,902.40 and 185,308.80 is: 277,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,893.20 : 543,902.40 = 185,308.80 : x
  2. Step 2: Convert to fraction form
    362,893.20/543,902.40 = 185,308.80/x
  3. Step 3: Cross multiply
    362,893.20x = 543,902.40 × 185,308.80
  4. Step 4: Simplify right side
    362,893.20x = 100,789,901,061.12
  5. Step 5: Solve for x
    x = 100,789,901,061.12/362,893.20
  6. Step 6: Final answer
    x = 277,739.84

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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.