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Finding the Fourth Proportional to 275,270.40, 412,914.24 and 97,774.56

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Solution

The fourth proportional to 275,270.40, 412,914.24 and 97,774.56 is: 146,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,270.40 : 412,914.24 = 97,774.56 : x
  2. Step 2: Convert to fraction form
    275,270.40/412,914.24 = 97,774.56/x
  3. Step 3: Cross multiply
    275,270.40x = 412,914.24 × 97,774.56
  4. Step 4: Simplify right side
    275,270.40x = 40,372,508,133.73
  5. Step 5: Solve for x
    x = 40,372,508,133.73/275,270.40
  6. Step 6: Final answer
    x = 146,664.91

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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.