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Finding the Fourth Proportional to 322,270.98, 444,745.61 and 186,347.57

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Solution

The fourth proportional to 322,270.98, 444,745.61 and 186,347.57 is: 257,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,270.98 : 444,745.61 = 186,347.57 : x
  2. Step 2: Convert to fraction form
    322,270.98/444,745.61 = 186,347.57/x
  3. Step 3: Cross multiply
    322,270.98x = 444,745.61 × 186,347.57
  4. Step 4: Simplify right side
    322,270.98x = 82,877,260,536.20
  5. Step 5: Solve for x
    x = 82,877,260,536.20/322,270.98
  6. Step 6: Final answer
    x = 257,166.38

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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.