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Finding the Fourth Proportional to 548,599.50, 822,893.58 and 416,292.48

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Solution

The fourth proportional to 548,599.50, 822,893.58 and 416,292.48 is: 624,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,599.50 : 822,893.58 = 416,292.48 : x
  2. Step 2: Convert to fraction form
    548,599.50/822,893.58 = 416,292.48/x
  3. Step 3: Cross multiply
    548,599.50x = 822,893.58 × 416,292.48
  4. Step 4: Simplify right side
    548,599.50x = 342,564,409,194.28
  5. Step 5: Solve for x
    x = 342,564,409,194.28/548,599.50
  6. Step 6: Final answer
    x = 624,434.42

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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.