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Finding the Fourth Proportional to 277,820.28, 383,391.63 and 150,496.38

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Solution

The fourth proportional to 277,820.28, 383,391.63 and 150,496.38 is: 207,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.28 : 383,391.63 = 150,496.38 : x
  2. Step 2: Convert to fraction form
    277,820.28/383,391.63 = 150,496.38/x
  3. Step 3: Cross multiply
    277,820.28x = 383,391.63 × 150,496.38
  4. Step 4: Simplify right side
    277,820.28x = 57,699,052,437.30
  5. Step 5: Solve for x
    x = 57,699,052,437.30/277,820.28
  6. Step 6: Final answer
    x = 207,684.81

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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.