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Finding the Fourth Proportional to 495,524.80, 743,287.20 and 408,044.80

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Solution

The fourth proportional to 495,524.80, 743,287.20 and 408,044.80 is: 612,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,524.80 : 743,287.20 = 408,044.80 : x
  2. Step 2: Convert to fraction form
    495,524.80/743,287.20 = 408,044.80/x
  3. Step 3: Cross multiply
    495,524.80x = 743,287.20 × 408,044.80
  4. Step 4: Simplify right side
    495,524.80x = 303,294,476,866.56
  5. Step 5: Solve for x
    x = 303,294,476,866.56/495,524.80
  6. Step 6: Final answer
    x = 612,067.20

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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.