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Finding the Fourth Proportional to 297,415.22, 410,435.98 and 161,450.24

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Solution

The fourth proportional to 297,415.22, 410,435.98 and 161,450.24 is: 222,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,415.22 : 410,435.98 = 161,450.24 : x
  2. Step 2: Convert to fraction form
    297,415.22/410,435.98 = 161,450.24/x
  3. Step 3: Cross multiply
    297,415.22x = 410,435.98 × 161,450.24
  4. Step 4: Simplify right side
    297,415.22x = 66,264,985,019.83
  5. Step 5: Solve for x
    x = 66,264,985,019.83/297,415.22
  6. Step 6: Final answer
    x = 222,802.94

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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.