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Finding the Fourth Proportional to 464,463.60, 641,009.88 and 263,238

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Solution

The fourth proportional to 464,463.60, 641,009.88 and 263,238 is: 363,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,463.60 : 641,009.88 = 263,238 : x
  2. Step 2: Convert to fraction form
    464,463.60/641,009.88 = 263,238/x
  3. Step 3: Cross multiply
    464,463.60x = 641,009.88 × 263,238
  4. Step 4: Simplify right side
    464,463.60x = 168,738,158,791.44
  5. Step 5: Solve for x
    x = 168,738,158,791.44/464,463.60
  6. Step 6: Final answer
    x = 363,296.84

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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.