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Finding the Fourth Proportional to 300,487.14, 414,953.19 and 193,243.38

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Solution

The fourth proportional to 300,487.14, 414,953.19 and 193,243.38 is: 266,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,487.14 : 414,953.19 = 193,243.38 : x
  2. Step 2: Convert to fraction form
    300,487.14/414,953.19 = 193,243.38/x
  3. Step 3: Cross multiply
    300,487.14x = 414,953.19 × 193,243.38
  4. Step 4: Simplify right side
    300,487.14x = 80,186,956,977.38
  5. Step 5: Solve for x
    x = 80,186,956,977.38/300,487.14
  6. Step 6: Final answer
    x = 266,856.53

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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.