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Finding the Fourth Proportional to 361,321.78, 498,623.70 and 200,186.86

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Solution

The fourth proportional to 361,321.78, 498,623.70 and 200,186.86 is: 276,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,321.78 : 498,623.70 = 200,186.86 : x
  2. Step 2: Convert to fraction form
    361,321.78/498,623.70 = 200,186.86/x
  3. Step 3: Cross multiply
    361,321.78x = 498,623.70 × 200,186.86
  4. Step 4: Simplify right side
    361,321.78x = 99,817,912,824.58
  5. Step 5: Solve for x
    x = 99,817,912,824.58/361,321.78
  6. Step 6: Final answer
    x = 276,257.67

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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.