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Finding the Fourth Proportional to 567,090.31, 782,584.20 and 312,441.50

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Solution

The fourth proportional to 567,090.31, 782,584.20 and 312,441.50 is: 431,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,090.31 : 782,584.20 = 312,441.50 : x
  2. Step 2: Convert to fraction form
    567,090.31/782,584.20 = 312,441.50/x
  3. Step 3: Cross multiply
    567,090.31x = 782,584.20 × 312,441.50
  4. Step 4: Simplify right side
    567,090.31x = 244,511,781,324.30
  5. Step 5: Solve for x
    x = 244,511,781,324.30/567,090.31
  6. Step 6: Final answer
    x = 431,169.03

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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.