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Finding the Fourth Proportional to 296,050.88, 408,553.44 and 161,912

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Solution

The fourth proportional to 296,050.88, 408,553.44 and 161,912 is: 223,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,050.88 : 408,553.44 = 161,912 : x
  2. Step 2: Convert to fraction form
    296,050.88/408,553.44 = 161,912/x
  3. Step 3: Cross multiply
    296,050.88x = 408,553.44 × 161,912
  4. Step 4: Simplify right side
    296,050.88x = 66,149,704,577.28
  5. Step 5: Solve for x
    x = 66,149,704,577.28/296,050.88
  6. Step 6: Final answer
    x = 223,440.32

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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.