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Finding the Fourth Proportional to 272,906.60, 409,974.30 and 262,461.80

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Solution

The fourth proportional to 272,906.60, 409,974.30 and 262,461.80 is: 394,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,906.60 : 409,974.30 = 262,461.80 : x
  2. Step 2: Convert to fraction form
    272,906.60/409,974.30 = 262,461.80/x
  3. Step 3: Cross multiply
    272,906.60x = 409,974.30 × 262,461.80
  4. Step 4: Simplify right side
    272,906.60x = 107,602,592,731.74
  5. Step 5: Solve for x
    x = 107,602,592,731.74/272,906.60
  6. Step 6: Final answer
    x = 394,283.59

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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.