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Finding the Fourth Proportional to 315,883.20, 435,912.32 and 172,644.26

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Solution

The fourth proportional to 315,883.20, 435,912.32 and 172,644.26 is: 238,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,883.20 : 435,912.32 = 172,644.26 : x
  2. Step 2: Convert to fraction form
    315,883.20/435,912.32 = 172,644.26/x
  3. Step 3: Cross multiply
    315,883.20x = 435,912.32 × 172,644.26
  4. Step 4: Simplify right side
    315,883.20x = 75,257,759,911.28
  5. Step 5: Solve for x
    x = 75,257,759,911.28/315,883.20
  6. Step 6: Final answer
    x = 238,245.53

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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.