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Finding the Fourth Proportional to 277,863.78, 383,469.69 and 170,419.17

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Solution

The fourth proportional to 277,863.78, 383,469.69 and 170,419.17 is: 235,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,863.78 : 383,469.69 = 170,419.17 : x
  2. Step 2: Convert to fraction form
    277,863.78/383,469.69 = 170,419.17/x
  3. Step 3: Cross multiply
    277,863.78x = 383,469.69 × 170,419.17
  4. Step 4: Simplify right side
    277,863.78x = 65,350,586,289.96
  5. Step 5: Solve for x
    x = 65,350,586,289.96/277,863.78
  6. Step 6: Final answer
    x = 235,189.29

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1.5x scale

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.