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Finding the Fourth Proportional to 298,961.75, 412,567.26 and 164,825.75

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Solution

The fourth proportional to 298,961.75, 412,567.26 and 164,825.75 is: 227,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.75 : 412,567.26 = 164,825.75 : x
  2. Step 2: Convert to fraction form
    298,961.75/412,567.26 = 164,825.75/x
  3. Step 3: Cross multiply
    298,961.75x = 412,567.26 × 164,825.75
  4. Step 4: Simplify right side
    298,961.75x = 68,001,708,054.95
  5. Step 5: Solve for x
    x = 68,001,708,054.95/298,961.75
  6. Step 6: Final answer
    x = 227,459.56

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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.