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Finding the Fourth Proportional to 548,651.11, 822,893.50 and 149,323

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Solution

The fourth proportional to 548,651.11, 822,893.50 and 149,323 is: 223,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,651.11 : 822,893.50 = 149,323 : x
  2. Step 2: Convert to fraction form
    548,651.11/822,893.50 = 149,323/x
  3. Step 3: Cross multiply
    548,651.11x = 822,893.50 × 149,323
  4. Step 4: Simplify right side
    548,651.11x = 122,876,926,100.50
  5. Step 5: Solve for x
    x = 122,876,926,100.50/548,651.11
  6. Step 6: Final answer
    x = 223,961.87

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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.