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Finding the Fourth Proportional to 567,222.64, 850,830.90 and 327,180.96

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Solution

The fourth proportional to 567,222.64, 850,830.90 and 327,180.96 is: 490,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,222.64 : 850,830.90 = 327,180.96 : x
  2. Step 2: Convert to fraction form
    567,222.64/850,830.90 = 327,180.96/x
  3. Step 3: Cross multiply
    567,222.64x = 850,830.90 × 327,180.96
  4. Step 4: Simplify right side
    567,222.64x = 278,375,670,659.66
  5. Step 5: Solve for x
    x = 278,375,670,659.66/567,222.64
  6. Step 6: Final answer
    x = 490,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.