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Finding the Fourth Proportional to 328,992.96, 453,993.12 and 193,008

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Solution

The fourth proportional to 328,992.96, 453,993.12 and 193,008 is: 266,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,992.96 : 453,993.12 = 193,008 : x
  2. Step 2: Convert to fraction form
    328,992.96/453,993.12 = 193,008/x
  3. Step 3: Cross multiply
    328,992.96x = 453,993.12 × 193,008
  4. Step 4: Simplify right side
    328,992.96x = 87,624,304,104.96
  5. Step 5: Solve for x
    x = 87,624,304,104.96/328,992.96
  6. Step 6: Final answer
    x = 266,340.97

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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.