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Finding the Fourth Proportional to 288,231.57, 397,743.51 and 160,915.38

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Solution

The fourth proportional to 288,231.57, 397,743.51 and 160,915.38 is: 222,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,231.57 : 397,743.51 = 160,915.38 : x
  2. Step 2: Convert to fraction form
    288,231.57/397,743.51 = 160,915.38/x
  3. Step 3: Cross multiply
    288,231.57x = 397,743.51 × 160,915.38
  4. Step 4: Simplify right side
    288,231.57x = 64,003,048,054.18
  5. Step 5: Solve for x
    x = 64,003,048,054.18/288,231.57
  6. Step 6: Final answer
    x = 222,054.26

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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.