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Finding the Fourth Proportional to 567,997.60, 851,672.40 and 213,023.20

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Solution

The fourth proportional to 567,997.60, 851,672.40 and 213,023.20 is: 319,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,997.60 : 851,672.40 = 213,023.20 : x
  2. Step 2: Convert to fraction form
    567,997.60/851,672.40 = 213,023.20/x
  3. Step 3: Cross multiply
    567,997.60x = 851,672.40 × 213,023.20
  4. Step 4: Simplify right side
    567,997.60x = 181,425,979,999.68
  5. Step 5: Solve for x
    x = 181,425,979,999.68/567,997.60
  6. Step 6: Final answer
    x = 319,413.29

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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.