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Finding the Fourth Proportional to 465,906.30, 698,859.45 and 213,186.30

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Solution

The fourth proportional to 465,906.30, 698,859.45 and 213,186.30 is: 319,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,906.30 : 698,859.45 = 213,186.30 : x
  2. Step 2: Convert to fraction form
    465,906.30/698,859.45 = 213,186.30/x
  3. Step 3: Cross multiply
    465,906.30x = 698,859.45 × 213,186.30
  4. Step 4: Simplify right side
    465,906.30x = 148,987,260,365.54
  5. Step 5: Solve for x
    x = 148,987,260,365.54/465,906.30
  6. Step 6: Final answer
    x = 319,779.45

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