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Finding the Fourth Proportional to 272,972.60, 409,896.30 and 206,487.80

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Solution

The fourth proportional to 272,972.60, 409,896.30 and 206,487.80 is: 310,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,972.60 : 409,896.30 = 206,487.80 : x
  2. Step 2: Convert to fraction form
    272,972.60/409,896.30 = 206,487.80/x
  3. Step 3: Cross multiply
    272,972.60x = 409,896.30 × 206,487.80
  4. Step 4: Simplify right side
    272,972.60x = 84,638,585,215.14
  5. Step 5: Solve for x
    x = 84,638,585,215.14/272,972.60
  6. Step 6: Final answer
    x = 310,062.57

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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.