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Finding the Fourth Proportional to 329,540.60, 494,282.10 and 107,924.60

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Solution

The fourth proportional to 329,540.60, 494,282.10 and 107,924.60 is: 161,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,540.60 : 494,282.10 = 107,924.60 : x
  2. Step 2: Convert to fraction form
    329,540.60/494,282.10 = 107,924.60/x
  3. Step 3: Cross multiply
    329,540.60x = 494,282.10 × 107,924.60
  4. Step 4: Simplify right side
    329,540.60x = 53,345,197,929.66
  5. Step 5: Solve for x
    x = 53,345,197,929.66/329,540.60
  6. Step 6: Final answer
    x = 161,877.47

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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.