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Finding the Fourth Proportional to 598,095.78, 825,361.83 and 326,165.82

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Solution

The fourth proportional to 598,095.78, 825,361.83 and 326,165.82 is: 450,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,095.78 : 825,361.83 = 326,165.82 : x
  2. Step 2: Convert to fraction form
    598,095.78/825,361.83 = 326,165.82/x
  3. Step 3: Cross multiply
    598,095.78x = 825,361.83 × 326,165.82
  4. Step 4: Simplify right side
    598,095.78x = 269,204,818,078.65
  5. Step 5: Solve for x
    x = 269,204,818,078.65/598,095.78
  6. Step 6: Final answer
    x = 450,103.19

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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.