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Finding the Fourth Proportional to 598,289.56, 825,644.87 and 326,358.66

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Solution

The fourth proportional to 598,289.56, 825,644.87 and 326,358.66 is: 450,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,289.56 : 825,644.87 = 326,358.66 : x
  2. Step 2: Convert to fraction form
    598,289.56/825,644.87 = 326,358.66/x
  3. Step 3: Cross multiply
    598,289.56x = 825,644.87 × 326,358.66
  4. Step 4: Simplify right side
    598,289.56x = 269,456,356,097.29
  5. Step 5: Solve for x
    x = 269,456,356,097.29/598,289.56
  6. Step 6: Final answer
    x = 450,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.