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Finding the Fourth Proportional to 538,542.75, 743,205.57 and 309,141.94

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Solution

The fourth proportional to 538,542.75, 743,205.57 and 309,141.94 is: 426,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,542.75 : 743,205.57 = 309,141.94 : x
  2. Step 2: Convert to fraction form
    538,542.75/743,205.57 = 309,141.94/x
  3. Step 3: Cross multiply
    538,542.75x = 743,205.57 × 309,141.94
  4. Step 4: Simplify right side
    538,542.75x = 229,756,010,188.21
  5. Step 5: Solve for x
    x = 229,756,010,188.21/538,542.75
  6. Step 6: Final answer
    x = 426,625.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.