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Finding the Fourth Proportional to 277,856, 383,441.44 and 150,532.48

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Solution

The fourth proportional to 277,856, 383,441.44 and 150,532.48 is: 207,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,856 : 383,441.44 = 150,532.48 : x
  2. Step 2: Convert to fraction form
    277,856/383,441.44 = 150,532.48/x
  3. Step 3: Cross multiply
    277,856x = 383,441.44 × 150,532.48
  4. Step 4: Simplify right side
    277,856x = 57,720,390,897.97
  5. Step 5: Solve for x
    x = 57,720,390,897.97/277,856
  6. Step 6: Final answer
    x = 207,734.91

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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.