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Finding the Fourth Proportional to 598,064.33, 825,348.69 and 326,147.10

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Solution

The fourth proportional to 598,064.33, 825,348.69 and 326,147.10 is: 450,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,064.33 : 825,348.69 = 326,147.10 : x
  2. Step 2: Convert to fraction form
    598,064.33/825,348.69 = 326,147.10/x
  3. Step 3: Cross multiply
    598,064.33x = 825,348.69 × 326,147.10
  4. Step 4: Simplify right side
    598,064.33x = 269,185,081,732.30
  5. Step 5: Solve for x
    x = 269,185,081,732.30/598,064.33
  6. Step 6: Final answer
    x = 450,093.86

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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.