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Finding the Fourth Proportional to 495,494.39, 743,245.97 and 195,975

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Solution

The fourth proportional to 495,494.39, 743,245.97 and 195,975 is: 293,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,494.39 : 743,245.97 = 195,975 : x
  2. Step 2: Convert to fraction form
    495,494.39/743,245.97 = 195,975/x
  3. Step 3: Cross multiply
    495,494.39x = 743,245.97 × 195,975
  4. Step 4: Simplify right side
    495,494.39x = 145,657,627,990.88
  5. Step 5: Solve for x
    x = 145,657,627,990.88/495,494.39
  6. Step 6: Final answer
    x = 293,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.