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Finding the Fourth Proportional to 567,221.64, 850,829.40 and 327,179.96

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Solution

The fourth proportional to 567,221.64, 850,829.40 and 327,179.96 is: 490,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,221.64 : 850,829.40 = 327,179.96 : x
  2. Step 2: Convert to fraction form
    567,221.64/850,829.40 = 327,179.96/x
  3. Step 3: Cross multiply
    567,221.64x = 850,829.40 × 327,179.96
  4. Step 4: Simplify right side
    567,221.64x = 278,374,327,995.29
  5. Step 5: Solve for x
    x = 278,374,327,995.29/567,221.64
  6. Step 6: Final answer
    x = 490,768.18

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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.