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Finding the Fourth Proportional to 496,845.92, 748,616.60 and 410,043.68

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Solution

The fourth proportional to 496,845.92, 748,616.60 and 410,043.68 is: 617,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,845.92 : 748,616.60 = 410,043.68 : x
  2. Step 2: Convert to fraction form
    496,845.92/748,616.60 = 410,043.68/x
  3. Step 3: Cross multiply
    496,845.92x = 748,616.60 × 410,043.68
  4. Step 4: Simplify right side
    496,845.92x = 306,965,505,573.09
  5. Step 5: Solve for x
    x = 306,965,505,573.09/496,845.92
  6. Step 6: Final answer
    x = 617,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.