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Finding the Fourth Proportional to 291,735.67, 402,593.07 and 164,452.27

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Solution

The fourth proportional to 291,735.67, 402,593.07 and 164,452.27 is: 226,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,735.67 : 402,593.07 = 164,452.27 : x
  2. Step 2: Convert to fraction form
    291,735.67/402,593.07 = 164,452.27/x
  3. Step 3: Cross multiply
    291,735.67x = 402,593.07 × 164,452.27
  4. Step 4: Simplify right side
    291,735.67x = 66,207,344,247.77
  5. Step 5: Solve for x
    x = 66,207,344,247.77/291,735.67
  6. Step 6: Final answer
    x = 226,942.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.