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Finding the Fourth Proportional to 362,021.74, 499,589.98 and 200,902.71

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Solution

The fourth proportional to 362,021.74, 499,589.98 and 200,902.71 is: 277,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,021.74 : 499,589.98 = 200,902.71 : x
  2. Step 2: Convert to fraction form
    362,021.74/499,589.98 = 200,902.71/x
  3. Step 3: Cross multiply
    362,021.74x = 499,589.98 × 200,902.71
  4. Step 4: Simplify right side
    362,021.74x = 100,368,980,870.85
  5. Step 5: Solve for x
    x = 100,368,980,870.85/362,021.74
  6. Step 6: Final answer
    x = 277,245.73

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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.