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Finding the Fourth Proportional to 295,999.38, 408,470.85 and 161,860.50

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Solution

The fourth proportional to 295,999.38, 408,470.85 and 161,860.50 is: 223,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,999.38 : 408,470.85 = 161,860.50 : x
  2. Step 2: Convert to fraction form
    295,999.38/408,470.85 = 161,860.50/x
  3. Step 3: Cross multiply
    295,999.38x = 408,470.85 × 161,860.50
  4. Step 4: Simplify right side
    295,999.38x = 66,115,296,016.43
  5. Step 5: Solve for x
    x = 66,115,296,016.43/295,999.38
  6. Step 6: Final answer
    x = 223,362.95

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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.