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Finding the Fourth Proportional to 277,792.08, 383,353.20 and 150,468

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Solution

The fourth proportional to 277,792.08, 383,353.20 and 150,468 is: 207,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,792.08 : 383,353.20 = 150,468 : x
  2. Step 2: Convert to fraction form
    277,792.08/383,353.20 = 150,468/x
  3. Step 3: Cross multiply
    277,792.08x = 383,353.20 × 150,468
  4. Step 4: Simplify right side
    277,792.08x = 57,682,389,297.60
  5. Step 5: Solve for x
    x = 57,682,389,297.60/277,792.08
  6. Step 6: Final answer
    x = 207,645.91

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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.