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Finding the Fourth Proportional to 493,166.22, 741,509.73 and 454,193.70

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Solution

The fourth proportional to 493,166.22, 741,509.73 and 454,193.70 is: 682,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,166.22 : 741,509.73 = 454,193.70 : x
  2. Step 2: Convert to fraction form
    493,166.22/741,509.73 = 454,193.70/x
  3. Step 3: Cross multiply
    493,166.22x = 741,509.73 × 454,193.70
  4. Step 4: Simplify right side
    493,166.22x = 336,789,047,854.70
  5. Step 5: Solve for x
    x = 336,789,047,854.70/493,166.22
  6. Step 6: Final answer
    x = 682,911.83

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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.