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Finding the Fourth Proportional to 550,597.40, 825,862.92 and 327,378.34

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Solution

The fourth proportional to 550,597.40, 825,862.92 and 327,378.34 is: 491,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,597.40 : 825,862.92 = 327,378.34 : x
  2. Step 2: Convert to fraction form
    550,597.40/825,862.92 = 327,378.34/x
  3. Step 3: Cross multiply
    550,597.40x = 825,862.92 × 327,378.34
  4. Step 4: Simplify right side
    550,597.40x = 270,369,631,817.15
  5. Step 5: Solve for x
    x = 270,369,631,817.15/550,597.40
  6. Step 6: Final answer
    x = 491,047.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.