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Finding the Fourth Proportional to 362,455.86, 500,205.78 and 201,311.58

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Solution

The fourth proportional to 362,455.86, 500,205.78 and 201,311.58 is: 277,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,455.86 : 500,205.78 = 201,311.58 : x
  2. Step 2: Convert to fraction form
    362,455.86/500,205.78 = 201,311.58/x
  3. Step 3: Cross multiply
    362,455.86x = 500,205.78 × 201,311.58
  4. Step 4: Simplify right side
    362,455.86x = 100,697,215,896.93
  5. Step 5: Solve for x
    x = 100,697,215,896.93/362,455.86
  6. Step 6: Final answer
    x = 277,819.25

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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.