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Finding the Fourth Proportional to 362,093.14, 543,131.47 and 213,277.44

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Solution

The fourth proportional to 362,093.14, 543,131.47 and 213,277.44 is: 319,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093.14 : 543,131.47 = 213,277.44 : x
  2. Step 2: Convert to fraction form
    362,093.14/543,131.47 = 213,277.44/x
  3. Step 3: Cross multiply
    362,093.14x = 543,131.47 × 213,277.44
  4. Step 4: Simplify right side
    362,093.14x = 115,837,689,505.04
  5. Step 5: Solve for x
    x = 115,837,689,505.04/362,093.14
  6. Step 6: Final answer
    x = 319,911.31

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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.