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Finding the Fourth Proportional to 598,369.97, 825,734.17 and 326,437.80

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Solution

The fourth proportional to 598,369.97, 825,734.17 and 326,437.80 is: 450,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,369.97 : 825,734.17 = 326,437.80 : x
  2. Step 2: Convert to fraction form
    598,369.97/825,734.17 = 326,437.80/x
  3. Step 3: Cross multiply
    598,369.97x = 825,734.17 × 326,437.80
  4. Step 4: Simplify right side
    598,369.97x = 269,550,844,069.28
  5. Step 5: Solve for x
    x = 269,550,844,069.28/598,369.97
  6. Step 6: Final answer
    x = 450,475.22

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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.