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Finding the Fourth Proportional to 362,364.94, 543,734.25 and 162,824.14

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Solution

The fourth proportional to 362,364.94, 543,734.25 and 162,824.14 is: 244,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364.94 : 543,734.25 = 162,824.14 : x
  2. Step 2: Convert to fraction form
    362,364.94/543,734.25 = 162,824.14/x
  3. Step 3: Cross multiply
    362,364.94x = 543,734.25 × 162,824.14
  4. Step 4: Simplify right side
    362,364.94x = 88,533,061,644.80
  5. Step 5: Solve for x
    x = 88,533,061,644.80/362,364.94
  6. Step 6: Final answer
    x = 244,320.16

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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.