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Finding the Fourth Proportional to 273,270.20, 409,905.30 and 254,607.80

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Solution

The fourth proportional to 273,270.20, 409,905.30 and 254,607.80 is: 381,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,270.20 : 409,905.30 = 254,607.80 : x
  2. Step 2: Convert to fraction form
    273,270.20/409,905.30 = 254,607.80/x
  3. Step 3: Cross multiply
    273,270.20x = 409,905.30 × 254,607.80
  4. Step 4: Simplify right side
    273,270.20x = 104,365,086,641.34
  5. Step 5: Solve for x
    x = 104,365,086,641.34/273,270.20
  6. Step 6: Final answer
    x = 381,911.70

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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.