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Finding the Fourth Proportional to 693,342, 1,040,013 and 168,030

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Solution

The fourth proportional to 693,342, 1,040,013 and 168,030 is: 252,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,342 : 1,040,013 = 168,030 : x
  2. Step 2: Convert to fraction form
    693,342/1,040,013 = 168,030/x
  3. Step 3: Cross multiply
    693,342x = 1,040,013 × 168,030
  4. Step 4: Simplify right side
    693,342x = 174,753,384,390
  5. Step 5: Solve for x
    x = 174,753,384,390/693,342
  6. Step 6: Final answer
    x = 252,045

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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.