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Finding the Fourth Proportional to 362,111.41, 543,164.95 and 196,949.17

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Solution

The fourth proportional to 362,111.41, 543,164.95 and 196,949.17 is: 295,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,111.41 : 543,164.95 = 196,949.17 : x
  2. Step 2: Convert to fraction form
    362,111.41/543,164.95 = 196,949.17/x
  3. Step 3: Cross multiply
    362,111.41x = 543,164.95 × 196,949.17
  4. Step 4: Simplify right side
    362,111.41x = 106,975,886,075.59
  5. Step 5: Solve for x
    x = 106,975,886,075.59/362,111.41
  6. Step 6: Final answer
    x = 295,422.58

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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.