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Finding the Fourth Proportional to 295,944.50, 408,403.41 and 161,808.50

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Solution

The fourth proportional to 295,944.50, 408,403.41 and 161,808.50 is: 223,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944.50 : 408,403.41 = 161,808.50 : x
  2. Step 2: Convert to fraction form
    295,944.50/408,403.41 = 161,808.50/x
  3. Step 3: Cross multiply
    295,944.50x = 408,403.41 × 161,808.50
  4. Step 4: Simplify right side
    295,944.50x = 66,083,143,166.99
  5. Step 5: Solve for x
    x = 66,083,143,166.99/295,944.50
  6. Step 6: Final answer
    x = 223,295.73

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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.