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Finding the Fourth Proportional to 465,811.72, 642,740.08 and 261,834.34

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Solution

The fourth proportional to 465,811.72, 642,740.08 and 261,834.34 is: 361,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,811.72 : 642,740.08 = 261,834.34 : x
  2. Step 2: Convert to fraction form
    465,811.72/642,740.08 = 261,834.34/x
  3. Step 3: Cross multiply
    465,811.72x = 642,740.08 × 261,834.34
  4. Step 4: Simplify right side
    465,811.72x = 168,291,424,638.35
  5. Step 5: Solve for x
    x = 168,291,424,638.35/465,811.72
  6. Step 6: Final answer
    x = 361,286.37

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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.