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Finding the Fourth Proportional to 361,716.12, 499,193.82 and 200,586.60

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Solution

The fourth proportional to 361,716.12, 499,193.82 and 200,586.60 is: 276,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,716.12 : 499,193.82 = 200,586.60 : x
  2. Step 2: Convert to fraction form
    361,716.12/499,193.82 = 200,586.60/x
  3. Step 3: Cross multiply
    361,716.12x = 499,193.82 × 200,586.60
  4. Step 4: Simplify right side
    361,716.12x = 100,131,591,094.81
  5. Step 5: Solve for x
    x = 100,131,591,094.81/361,716.12
  6. Step 6: Final answer
    x = 276,823.69

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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.