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Finding the Fourth Proportional to 272,936.40, 409,404.60 and 202,077.60

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Solution

The fourth proportional to 272,936.40, 409,404.60 and 202,077.60 is: 303,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,936.40 : 409,404.60 = 202,077.60 : x
  2. Step 2: Convert to fraction form
    272,936.40/409,404.60 = 202,077.60/x
  3. Step 3: Cross multiply
    272,936.40x = 409,404.60 × 202,077.60
  4. Step 4: Simplify right side
    272,936.40x = 82,731,498,996.96
  5. Step 5: Solve for x
    x = 82,731,498,996.96/272,936.40
  6. Step 6: Final answer
    x = 303,116.40

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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.