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Finding the Fourth Proportional to 431,738.60, 647,607.90 and 274,274.60

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Solution

The fourth proportional to 431,738.60, 647,607.90 and 274,274.60 is: 411,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,738.60 : 647,607.90 = 274,274.60 : x
  2. Step 2: Convert to fraction form
    431,738.60/647,607.90 = 274,274.60/x
  3. Step 3: Cross multiply
    431,738.60x = 647,607.90 × 274,274.60
  4. Step 4: Simplify right side
    431,738.60x = 177,622,397,729.34
  5. Step 5: Solve for x
    x = 177,622,397,729.34/431,738.60
  6. Step 6: Final answer
    x = 411,411.90

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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.