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Finding the Fourth Proportional to 408,592.38, 612,888.57 and 128,131.50

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Solution

The fourth proportional to 408,592.38, 612,888.57 and 128,131.50 is: 192,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,592.38 : 612,888.57 = 128,131.50 : x
  2. Step 2: Convert to fraction form
    408,592.38/612,888.57 = 128,131.50/x
  3. Step 3: Cross multiply
    408,592.38x = 612,888.57 × 128,131.50
  4. Step 4: Simplify right side
    408,592.38x = 78,530,331,806.96
  5. Step 5: Solve for x
    x = 78,530,331,806.96/408,592.38
  6. Step 6: Final answer
    x = 192,197.25

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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.