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Finding the Fourth Proportional to 277,754.60, 383,299.44 and 150,427.28

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Solution

The fourth proportional to 277,754.60, 383,299.44 and 150,427.28 is: 207,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,754.60 : 383,299.44 = 150,427.28 : x
  2. Step 2: Convert to fraction form
    277,754.60/383,299.44 = 150,427.28/x
  3. Step 3: Cross multiply
    277,754.60x = 383,299.44 × 150,427.28
  4. Step 4: Simplify right side
    277,754.60x = 57,658,692,184.72
  5. Step 5: Solve for x
    x = 57,658,692,184.72/277,754.60
  6. Step 6: Final answer
    x = 207,588.61

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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.