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Finding the Fourth Proportional to 654,576.47, 981,854.84 and 294,493.03

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Solution

The fourth proportional to 654,576.47, 981,854.84 and 294,493.03 is: 441,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,576.47 : 981,854.84 = 294,493.03 : x
  2. Step 2: Convert to fraction form
    654,576.47/981,854.84 = 294,493.03/x
  3. Step 3: Cross multiply
    654,576.47x = 981,854.84 × 294,493.03
  4. Step 4: Simplify right side
    654,576.47x = 289,149,405,133.36
  5. Step 5: Solve for x
    x = 289,149,405,133.36/654,576.47
  6. Step 6: Final answer
    x = 441,735.10

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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.