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Finding the Fourth Proportional to 464,970.11, 641,658.41 and 261,021.42

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Solution

The fourth proportional to 464,970.11, 641,658.41 and 261,021.42 is: 360,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,970.11 : 641,658.41 = 261,021.42 : x
  2. Step 2: Convert to fraction form
    464,970.11/641,658.41 = 261,021.42/x
  3. Step 3: Cross multiply
    464,970.11x = 641,658.41 × 261,021.42
  4. Step 4: Simplify right side
    464,970.11x = 167,486,588,028.04
  5. Step 5: Solve for x
    x = 167,486,588,028.04/464,970.11
  6. Step 6: Final answer
    x = 360,209.37

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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.