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Finding the Fourth Proportional to 295,349.16, 407,581.78 and 161,213.16

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Solution

The fourth proportional to 295,349.16, 407,581.78 and 161,213.16 is: 222,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,349.16 : 407,581.78 = 161,213.16 : x
  2. Step 2: Convert to fraction form
    295,349.16/407,581.78 = 161,213.16/x
  3. Step 3: Cross multiply
    295,349.16x = 407,581.78 × 161,213.16
  4. Step 4: Simplify right side
    295,349.16x = 65,707,546,712.22
  5. Step 5: Solve for x
    x = 65,707,546,712.22/295,349.16
  6. Step 6: Final answer
    x = 222,474.13

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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.