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Finding the Fourth Proportional to 290,941.65, 401,504.37 and 161,890.43

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Solution

The fourth proportional to 290,941.65, 401,504.37 and 161,890.43 is: 223,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,941.65 : 401,504.37 = 161,890.43 : x
  2. Step 2: Convert to fraction form
    290,941.65/401,504.37 = 161,890.43/x
  3. Step 3: Cross multiply
    290,941.65x = 401,504.37 × 161,890.43
  4. Step 4: Simplify right side
    290,941.65x = 64,999,713,098.66
  5. Step 5: Solve for x
    x = 64,999,713,098.66/290,941.65
  6. Step 6: Final answer
    x = 223,411.51

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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.