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Finding the Fourth Proportional to 589,246.02, 884,256.39 and 323,193

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Solution

The fourth proportional to 589,246.02, 884,256.39 and 323,193 is: 485,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,246.02 : 884,256.39 = 323,193 : x
  2. Step 2: Convert to fraction form
    589,246.02/884,256.39 = 323,193/x
  3. Step 3: Cross multiply
    589,246.02x = 884,256.39 × 323,193
  4. Step 4: Simplify right side
    589,246.02x = 285,785,475,453.27
  5. Step 5: Solve for x
    x = 285,785,475,453.27/589,246.02
  6. Step 6: Final answer
    x = 485,001.96

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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.