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Finding the Fourth Proportional to 295,899, 408,342.06 and 161,763

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Solution

The fourth proportional to 295,899, 408,342.06 and 161,763 is: 223,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899 : 408,342.06 = 161,763 : x
  2. Step 2: Convert to fraction form
    295,899/408,342.06 = 161,763/x
  3. Step 3: Cross multiply
    295,899x = 408,342.06 × 161,763
  4. Step 4: Simplify right side
    295,899x = 66,054,636,651.78
  5. Step 5: Solve for x
    x = 66,054,636,651.78/295,899
  6. Step 6: Final answer
    x = 223,233.73

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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.