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Finding the Fourth Proportional to 486,091.80, 729,137.70 and 427,042.80

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Solution

The fourth proportional to 486,091.80, 729,137.70 and 427,042.80 is: 640,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,091.80 : 729,137.70 = 427,042.80 : x
  2. Step 2: Convert to fraction form
    486,091.80/729,137.70 = 427,042.80/x
  3. Step 3: Cross multiply
    486,091.80x = 729,137.70 × 427,042.80
  4. Step 4: Simplify right side
    486,091.80x = 311,373,004,993.56
  5. Step 5: Solve for x
    x = 311,373,004,993.56/486,091.80
  6. Step 6: Final answer
    x = 640,564.20

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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.