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Finding the Fourth Proportional to 277,774.38, 383,329.26 and 150,450

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Solution

The fourth proportional to 277,774.38, 383,329.26 and 150,450 is: 207,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,774.38 : 383,329.26 = 150,450 : x
  2. Step 2: Convert to fraction form
    277,774.38/383,329.26 = 150,450/x
  3. Step 3: Cross multiply
    277,774.38x = 383,329.26 × 150,450
  4. Step 4: Simplify right side
    277,774.38x = 57,671,887,167
  5. Step 5: Solve for x
    x = 57,671,887,167/277,774.38
  6. Step 6: Final answer
    x = 207,621.33

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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.