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Finding the Fourth Proportional to 277,698.60, 383,222.16 and 150,371.28

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Solution

The fourth proportional to 277,698.60, 383,222.16 and 150,371.28 is: 207,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.60 : 383,222.16 = 150,371.28 : x
  2. Step 2: Convert to fraction form
    277,698.60/383,222.16 = 150,371.28/x
  3. Step 3: Cross multiply
    277,698.60x = 383,222.16 × 150,371.28
  4. Step 4: Simplify right side
    277,698.60x = 57,625,606,723.56
  5. Step 5: Solve for x
    x = 57,625,606,723.56/277,698.60
  6. Step 6: Final answer
    x = 207,511.33

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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.