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Finding the Fourth Proportional to 548,611.68, 822,911.58 and 416,304.48

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Solution

The fourth proportional to 548,611.68, 822,911.58 and 416,304.48 is: 624,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,611.68 : 822,911.58 = 416,304.48 : x
  2. Step 2: Convert to fraction form
    548,611.68/822,911.58 = 416,304.48/x
  3. Step 3: Cross multiply
    548,611.68x = 822,911.58 × 416,304.48
  4. Step 4: Simplify right side
    548,611.68x = 342,581,777,397.88
  5. Step 5: Solve for x
    x = 342,581,777,397.88/548,611.68
  6. Step 6: Final answer
    x = 624,452.21

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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.