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Finding the Fourth Proportional to 295,593.75, 407,919.42 and 161,457.75

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Solution

The fourth proportional to 295,593.75, 407,919.42 and 161,457.75 is: 222,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,593.75 : 407,919.42 = 161,457.75 : x
  2. Step 2: Convert to fraction form
    295,593.75/407,919.42 = 161,457.75/x
  3. Step 3: Cross multiply
    295,593.75x = 407,919.42 × 161,457.75
  4. Step 4: Simplify right side
    295,593.75x = 65,861,751,734.51
  5. Step 5: Solve for x
    x = 65,861,751,734.51/295,593.75
  6. Step 6: Final answer
    x = 222,811.72

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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.