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Finding the Fourth Proportional to 598,078.53, 825,368.22 and 326,161.26

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Solution

The fourth proportional to 598,078.53, 825,368.22 and 326,161.26 is: 450,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,078.53 : 825,368.22 = 326,161.26 : x
  2. Step 2: Convert to fraction form
    598,078.53/825,368.22 = 326,161.26/x
  3. Step 3: Cross multiply
    598,078.53x = 825,368.22 × 326,161.26
  4. Step 4: Simplify right side
    598,078.53x = 269,203,138,599.16
  5. Step 5: Solve for x
    x = 269,203,138,599.16/598,078.53
  6. Step 6: Final answer
    x = 450,113.36

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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.