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Finding the Fourth Proportional to 297,760.74, 410,904.74 and 161,796.78

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Solution

The fourth proportional to 297,760.74, 410,904.74 and 161,796.78 is: 223,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,760.74 : 410,904.74 = 161,796.78 : x
  2. Step 2: Convert to fraction form
    297,760.74/410,904.74 = 161,796.78/x
  3. Step 3: Cross multiply
    297,760.74x = 410,904.74 × 161,796.78
  4. Step 4: Simplify right side
    297,760.74x = 66,483,063,009.75
  5. Step 5: Solve for x
    x = 66,483,063,009.75/297,760.74
  6. Step 6: Final answer
    x = 223,276.79

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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.