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Finding the Fourth Proportional to 331,584.84, 457,572.78 and 188,344.44

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Solution

The fourth proportional to 331,584.84, 457,572.78 and 188,344.44 is: 259,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,584.84 : 457,572.78 = 188,344.44 : x
  2. Step 2: Convert to fraction form
    331,584.84/457,572.78 = 188,344.44/x
  3. Step 3: Cross multiply
    331,584.84x = 457,572.78 × 188,344.44
  4. Step 4: Simplify right side
    331,584.84x = 86,181,289,008.34
  5. Step 5: Solve for x
    x = 86,181,289,008.34/331,584.84
  6. Step 6: Final answer
    x = 259,907.21

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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.