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Finding the Fourth Proportional to 295,546.72, 407,853.84 and 161,410.72

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Solution

The fourth proportional to 295,546.72, 407,853.84 and 161,410.72 is: 222,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,546.72 : 407,853.84 = 161,410.72 : x
  2. Step 2: Convert to fraction form
    295,546.72/407,853.84 = 161,410.72/x
  3. Step 3: Cross multiply
    295,546.72x = 407,853.84 × 161,410.72
  4. Step 4: Simplify right side
    295,546.72x = 65,831,981,969.16
  5. Step 5: Solve for x
    x = 65,831,981,969.16/295,546.72
  6. Step 6: Final answer
    x = 222,746.45

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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.