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Finding the Fourth Proportional to 277,836.21, 383,415.84 and 150,511.86

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Solution

The fourth proportional to 277,836.21, 383,415.84 and 150,511.86 is: 207,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,836.21 : 383,415.84 = 150,511.86 : x
  2. Step 2: Convert to fraction form
    277,836.21/383,415.84 = 150,511.86/x
  3. Step 3: Cross multiply
    277,836.21x = 383,415.84 × 150,511.86
  4. Step 4: Simplify right side
    277,836.21x = 57,708,631,231.86
  5. Step 5: Solve for x
    x = 57,708,631,231.86/277,836.21
  6. Step 6: Final answer
    x = 207,707.38

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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.