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Finding the Fourth Proportional to 277,814.27, 383,383.67 and 150,489.83

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Solution

The fourth proportional to 277,814.27, 383,383.67 and 150,489.83 is: 207,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,814.27 : 383,383.67 = 150,489.83 : x
  2. Step 2: Convert to fraction form
    277,814.27/383,383.67 = 150,489.83/x
  3. Step 3: Cross multiply
    277,814.27x = 383,383.67 × 150,489.83
  4. Step 4: Simplify right side
    277,814.27x = 57,695,343,529.09
  5. Step 5: Solve for x
    x = 57,695,343,529.09/277,814.27
  6. Step 6: Final answer
    x = 207,675.95

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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.