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Finding the Fourth Proportional to 541,884.44, 812,940.80 and 204,917.64

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Solution

The fourth proportional to 541,884.44, 812,940.80 and 204,917.64 is: 307,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,884.44 : 812,940.80 = 204,917.64 : x
  2. Step 2: Convert to fraction form
    541,884.44/812,940.80 = 204,917.64/x
  3. Step 3: Cross multiply
    541,884.44x = 812,940.80 × 204,917.64
  4. Step 4: Simplify right side
    541,884.44x = 166,585,905,106.42
  5. Step 5: Solve for x
    x = 166,585,905,106.42/541,884.44
  6. Step 6: Final answer
    x = 307,419.61

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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.