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Finding the Fourth Proportional to 295,409.22, 407,662.64 and 161,273.22

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Solution

The fourth proportional to 295,409.22, 407,662.64 and 161,273.22 is: 222,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,409.22 : 407,662.64 = 161,273.22 : x
  2. Step 2: Convert to fraction form
    295,409.22/407,662.64 = 161,273.22/x
  3. Step 3: Cross multiply
    295,409.22x = 407,662.64 × 161,273.22
  4. Step 4: Simplify right side
    295,409.22x = 65,745,066,626.50
  5. Step 5: Solve for x
    x = 65,745,066,626.50/295,409.22
  6. Step 6: Final answer
    x = 222,555.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.