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Finding the Fourth Proportional to 290,851.22, 401,379.70 and 161,800

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Solution

The fourth proportional to 290,851.22, 401,379.70 and 161,800 is: 223,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,851.22 : 401,379.70 = 161,800 : x
  2. Step 2: Convert to fraction form
    290,851.22/401,379.70 = 161,800/x
  3. Step 3: Cross multiply
    290,851.22x = 401,379.70 × 161,800
  4. Step 4: Simplify right side
    290,851.22x = 64,943,235,460
  5. Step 5: Solve for x
    x = 64,943,235,460/290,851.22
  6. Step 6: Final answer
    x = 223,286.79

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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.