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Finding the Fourth Proportional to 295,222, 407,406.36 and 161,086

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Solution

The fourth proportional to 295,222, 407,406.36 and 161,086 is: 222,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,222 : 407,406.36 = 161,086 : x
  2. Step 2: Convert to fraction form
    295,222/407,406.36 = 161,086/x
  3. Step 3: Cross multiply
    295,222x = 407,406.36 × 161,086
  4. Step 4: Simplify right side
    295,222x = 65,627,460,906.96
  5. Step 5: Solve for x
    x = 65,627,460,906.96/295,222
  6. Step 6: Final answer
    x = 222,298.68

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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.