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Finding the Fourth Proportional to 431,806.40, 647,515.20 and 195,027.20

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Solution

The fourth proportional to 431,806.40, 647,515.20 and 195,027.20 is: 292,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,806.40 : 647,515.20 = 195,027.20 : x
  2. Step 2: Convert to fraction form
    431,806.40/647,515.20 = 195,027.20/x
  3. Step 3: Cross multiply
    431,806.40x = 647,515.20 × 195,027.20
  4. Step 4: Simplify right side
    431,806.40x = 126,283,076,413.44
  5. Step 5: Solve for x
    x = 126,283,076,413.44/431,806.40
  6. Step 6: Final answer
    x = 292,453.00

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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.