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Finding the Fourth Proportional to 277,584.52, 383,063.46 and 150,257.32

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Solution

The fourth proportional to 277,584.52, 383,063.46 and 150,257.32 is: 207,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584.52 : 383,063.46 = 150,257.32 : x
  2. Step 2: Convert to fraction form
    277,584.52/383,063.46 = 150,257.32/x
  3. Step 3: Cross multiply
    277,584.52x = 383,063.46 × 150,257.32
  4. Step 4: Simplify right side
    277,584.52x = 57,558,088,889.53
  5. Step 5: Solve for x
    x = 57,558,088,889.53/277,584.52
  6. Step 6: Final answer
    x = 207,353.38

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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.