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Finding the Fourth Proportional to 464,509.24, 641,022.30 and 263,305.24

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Solution

The fourth proportional to 464,509.24, 641,022.30 and 263,305.24 is: 363,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,509.24 : 641,022.30 = 263,305.24 : x
  2. Step 2: Convert to fraction form
    464,509.24/641,022.30 = 263,305.24/x
  3. Step 3: Cross multiply
    464,509.24x = 641,022.30 × 263,305.24
  4. Step 4: Simplify right side
    464,509.24x = 168,784,530,546.85
  5. Step 5: Solve for x
    x = 168,784,530,546.85/464,509.24
  6. Step 6: Final answer
    x = 363,360.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.