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Finding the Fourth Proportional to 295,941, 408,398.58 and 161,805

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Solution

The fourth proportional to 295,941, 408,398.58 and 161,805 is: 223,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,941 : 408,398.58 = 161,805 : x
  2. Step 2: Convert to fraction form
    295,941/408,398.58 = 161,805/x
  3. Step 3: Cross multiply
    295,941x = 408,398.58 × 161,805
  4. Step 4: Simplify right side
    295,941x = 66,080,932,236.90
  5. Step 5: Solve for x
    x = 66,080,932,236.90/295,941
  6. Step 6: Final answer
    x = 223,290.90

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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.