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Finding the Fourth Proportional to 497,786.40, 746,679.60 and 273,837.60

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Solution

The fourth proportional to 497,786.40, 746,679.60 and 273,837.60 is: 410,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,786.40 : 746,679.60 = 273,837.60 : x
  2. Step 2: Convert to fraction form
    497,786.40/746,679.60 = 273,837.60/x
  3. Step 3: Cross multiply
    497,786.40x = 746,679.60 × 273,837.60
  4. Step 4: Simplify right side
    497,786.40x = 204,468,949,632.96
  5. Step 5: Solve for x
    x = 204,468,949,632.96/497,786.40
  6. Step 6: Final answer
    x = 410,756.40

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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.