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Finding the Fourth Proportional to 368,072.48, 507,936.96 and 206,928.24

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Solution

The fourth proportional to 368,072.48, 507,936.96 and 206,928.24 is: 285,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,072.48 : 507,936.96 = 206,928.24 : x
  2. Step 2: Convert to fraction form
    368,072.48/507,936.96 = 206,928.24/x
  3. Step 3: Cross multiply
    368,072.48x = 507,936.96 × 206,928.24
  4. Step 4: Simplify right side
    368,072.48x = 105,106,501,163.75
  5. Step 5: Solve for x
    x = 105,106,501,163.75/368,072.48
  6. Step 6: Final answer
    x = 285,559.25

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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.