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Finding the Fourth Proportional to 431,960.80, 647,941.20 and 274,302.40

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Solution

The fourth proportional to 431,960.80, 647,941.20 and 274,302.40 is: 411,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,960.80 : 647,941.20 = 274,302.40 : x
  2. Step 2: Convert to fraction form
    431,960.80/647,941.20 = 274,302.40/x
  3. Step 3: Cross multiply
    431,960.80x = 647,941.20 × 274,302.40
  4. Step 4: Simplify right side
    431,960.80x = 177,731,826,218.88
  5. Step 5: Solve for x
    x = 177,731,826,218.88/431,960.80
  6. Step 6: Final answer
    x = 411,453.60

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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.