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Finding the Fourth Proportional to 3,522,850, 5,284,275 and 863,458

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Solution

The fourth proportional to 3,522,850, 5,284,275 and 863,458 is: 1,295,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522,850 : 5,284,275 = 863,458 : x
  2. Step 2: Convert to fraction form
    3,522,850/5,284,275 = 863,458/x
  3. Step 3: Cross multiply
    3,522,850x = 5,284,275 × 863,458
  4. Step 4: Simplify right side
    3,522,850x = 4,562,749,522,950
  5. Step 5: Solve for x
    x = 4,562,749,522,950/3,522,850
  6. Step 6: Final answer
    x = 1,295,187

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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.