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Finding the Fourth Proportional to 410,811.20, 616,216.80 and 269,806.40

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Solution

The fourth proportional to 410,811.20, 616,216.80 and 269,806.40 is: 404,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,811.20 : 616,216.80 = 269,806.40 : x
  2. Step 2: Convert to fraction form
    410,811.20/616,216.80 = 269,806.40/x
  3. Step 3: Cross multiply
    410,811.20x = 616,216.80 × 269,806.40
  4. Step 4: Simplify right side
    410,811.20x = 166,259,236,427.52
  5. Step 5: Solve for x
    x = 166,259,236,427.52/410,811.20
  6. Step 6: Final answer
    x = 404,709.60

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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.