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Finding the Fourth Proportional to 305,749.89, 458,704.08 and 116,213.54

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Solution

The fourth proportional to 305,749.89, 458,704.08 and 116,213.54 is: 174,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,749.89 : 458,704.08 = 116,213.54 : x
  2. Step 2: Convert to fraction form
    305,749.89/458,704.08 = 116,213.54/x
  3. Step 3: Cross multiply
    305,749.89x = 458,704.08 × 116,213.54
  4. Step 4: Simplify right side
    305,749.89x = 53,307,622,655.72
  5. Step 5: Solve for x
    x = 53,307,622,655.72/305,749.89
  6. Step 6: Final answer
    x = 174,350.42

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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.