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Finding the Fourth Proportional to 312,115.38, 430,673.05 and 189,544.02

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Solution

The fourth proportional to 312,115.38, 430,673.05 and 189,544.02 is: 261,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,115.38 : 430,673.05 = 189,544.02 : x
  2. Step 2: Convert to fraction form
    312,115.38/430,673.05 = 189,544.02/x
  3. Step 3: Cross multiply
    312,115.38x = 430,673.05 × 189,544.02
  4. Step 4: Simplify right side
    312,115.38x = 81,631,501,202.66
  5. Step 5: Solve for x
    x = 81,631,501,202.66/312,115.38
  6. Step 6: Final answer
    x = 261,542.71

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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.