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Finding the Fourth Proportional to 462,394.17, 693,984.92 and 182,108.25

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Solution

The fourth proportional to 462,394.17, 693,984.92 and 182,108.25 is: 273,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,394.17 : 693,984.92 = 182,108.25 : x
  2. Step 2: Convert to fraction form
    462,394.17/693,984.92 = 182,108.25/x
  3. Step 3: Cross multiply
    462,394.17x = 693,984.92 × 182,108.25
  4. Step 4: Simplify right side
    462,394.17x = 126,380,378,397.05
  5. Step 5: Solve for x
    x = 126,380,378,397.05/462,394.17
  6. Step 6: Final answer
    x = 273,317.41

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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.