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Finding the Fourth Proportional to 328,735.22, 493,016.43 and 118,333.94

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Solution

The fourth proportional to 328,735.22, 493,016.43 and 118,333.94 is: 177,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,735.22 : 493,016.43 = 118,333.94 : x
  2. Step 2: Convert to fraction form
    328,735.22/493,016.43 = 118,333.94/x
  3. Step 3: Cross multiply
    328,735.22x = 493,016.43 × 118,333.94
  4. Step 4: Simplify right side
    328,735.22x = 58,340,576,646.63
  5. Step 5: Solve for x
    x = 58,340,576,646.63/328,735.22
  6. Step 6: Final answer
    x = 177,469.81

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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.