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Finding the Fourth Proportional to 295,895.27, 408,327.28 and 166,832.62

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Solution

The fourth proportional to 295,895.27, 408,327.28 and 166,832.62 is: 230,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,895.27 : 408,327.28 = 166,832.62 : x
  2. Step 2: Convert to fraction form
    295,895.27/408,327.28 = 166,832.62/x
  3. Step 3: Cross multiply
    295,895.27x = 408,327.28 × 166,832.62
  4. Step 4: Simplify right side
    295,895.27x = 68,122,308,501.97
  5. Step 5: Solve for x
    x = 68,122,308,501.97/295,895.27
  6. Step 6: Final answer
    x = 230,224.39

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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.