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Finding the Fourth Proportional to 322,137.40, 444,550.36 and 178,897.48

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Solution

The fourth proportional to 322,137.40, 444,550.36 and 178,897.48 is: 246,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,137.40 : 444,550.36 = 178,897.48 : x
  2. Step 2: Convert to fraction form
    322,137.40/444,550.36 = 178,897.48/x
  3. Step 3: Cross multiply
    322,137.40x = 444,550.36 × 178,897.48
  4. Step 4: Simplify right side
    322,137.40x = 79,528,939,137.09
  5. Step 5: Solve for x
    x = 79,528,939,137.09/322,137.40
  6. Step 6: Final answer
    x = 246,878.94

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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.