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Finding the Fourth Proportional to 513,352.26, 769,871.43 and 180,850.50

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Solution

The fourth proportional to 513,352.26, 769,871.43 and 180,850.50 is: 271,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,352.26 : 769,871.43 = 180,850.50 : x
  2. Step 2: Convert to fraction form
    513,352.26/769,871.43 = 180,850.50/x
  3. Step 3: Cross multiply
    513,352.26x = 769,871.43 × 180,850.50
  4. Step 4: Simplify right side
    513,352.26x = 139,231,633,051.22
  5. Step 5: Solve for x
    x = 139,231,633,051.22/513,352.26
  6. Step 6: Final answer
    x = 271,220.45

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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.