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Finding the Fourth Proportional to 454,825.32, 682,240.44 and 117,842.64

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Solution

The fourth proportional to 454,825.32, 682,240.44 and 117,842.64 is: 176,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,825.32 : 682,240.44 = 117,842.64 : x
  2. Step 2: Convert to fraction form
    454,825.32/682,240.44 = 117,842.64/x
  3. Step 3: Cross multiply
    454,825.32x = 682,240.44 × 117,842.64
  4. Step 4: Simplify right side
    454,825.32x = 80,397,014,564.36
  5. Step 5: Solve for x
    x = 80,397,014,564.36/454,825.32
  6. Step 6: Final answer
    x = 176,764.60

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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.