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Finding the Fourth Proportional to 277,857.52, 383,440.96 and 150,532.80

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Solution

The fourth proportional to 277,857.52, 383,440.96 and 150,532.80 is: 207,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,857.52 : 383,440.96 = 150,532.80 : x
  2. Step 2: Convert to fraction form
    277,857.52/383,440.96 = 150,532.80/x
  3. Step 3: Cross multiply
    277,857.52x = 383,440.96 × 150,532.80
  4. Step 4: Simplify right side
    277,857.52x = 57,720,441,343.49
  5. Step 5: Solve for x
    x = 57,720,441,343.49/277,857.52
  6. Step 6: Final answer
    x = 207,733.95

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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.