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Finding the Fourth Proportional to 493,803.73, 741,689.75 and 465,951.07

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Solution

The fourth proportional to 493,803.73, 741,689.75 and 465,951.07 is: 699,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,803.73 : 741,689.75 = 465,951.07 : x
  2. Step 2: Convert to fraction form
    493,803.73/741,689.75 = 465,951.07/x
  3. Step 3: Cross multiply
    493,803.73x = 741,689.75 × 465,951.07
  4. Step 4: Simplify right side
    493,803.73x = 345,591,132,620.53
  5. Step 5: Solve for x
    x = 345,591,132,620.53/493,803.73
  6. Step 6: Final answer
    x = 699,855.25

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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.