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Finding the Fourth Proportional to 597,974.40, 825,211.16 and 326,040.08

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Solution

The fourth proportional to 597,974.40, 825,211.16 and 326,040.08 is: 449,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,974.40 : 825,211.16 = 326,040.08 : x
  2. Step 2: Convert to fraction form
    597,974.40/825,211.16 = 326,040.08/x
  3. Step 3: Cross multiply
    597,974.40x = 825,211.16 × 326,040.08
  4. Step 4: Simplify right side
    597,974.40x = 269,051,912,623.29
  5. Step 5: Solve for x
    x = 269,051,912,623.29/597,974.40
  6. Step 6: Final answer
    x = 449,938.85

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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.