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Finding the Fourth Proportional to 362,093.60, 543,658.80 and 204,629.60

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Solution

The fourth proportional to 362,093.60, 543,658.80 and 204,629.60 is: 307,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093.60 : 543,658.80 = 204,629.60 : x
  2. Step 2: Convert to fraction form
    362,093.60/543,658.80 = 204,629.60/x
  3. Step 3: Cross multiply
    362,093.60x = 543,658.80 × 204,629.60
  4. Step 4: Simplify right side
    362,093.60x = 111,248,682,780.48
  5. Step 5: Solve for x
    x = 111,248,682,780.48/362,093.60
  6. Step 6: Final answer
    x = 307,237.36

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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.