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Finding the Fourth Proportional to 495,493.39, 743,244.46 and 195,974

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Solution

The fourth proportional to 495,493.39, 743,244.46 and 195,974 is: 293,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,493.39 : 743,244.46 = 195,974 : x
  2. Step 2: Convert to fraction form
    495,493.39/743,244.46 = 195,974/x
  3. Step 3: Cross multiply
    495,493.39x = 743,244.46 × 195,974
  4. Step 4: Simplify right side
    495,493.39x = 145,656,589,804.04
  5. Step 5: Solve for x
    x = 145,656,589,804.04/495,493.39
  6. Step 6: Final answer
    x = 293,962.73

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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.