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Finding the Fourth Proportional to 307,443.96, 458,109.56 and 273,906.32

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Solution

The fourth proportional to 307,443.96, 458,109.56 and 273,906.32 is: 408,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,443.96 : 458,109.56 = 273,906.32 : x
  2. Step 2: Convert to fraction form
    307,443.96/458,109.56 = 273,906.32/x
  3. Step 3: Cross multiply
    307,443.96x = 458,109.56 × 273,906.32
  4. Step 4: Simplify right side
    307,443.96x = 125,479,100,076.34
  5. Step 5: Solve for x
    x = 125,479,100,076.34/307,443.96
  6. Step 6: Final answer
    x = 408,136.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.