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Finding the Fourth Proportional to 468,880.50, 647,046.15 and 262,148.04

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Solution

The fourth proportional to 468,880.50, 647,046.15 and 262,148.04 is: 361,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,880.50 : 647,046.15 = 262,148.04 : x
  2. Step 2: Convert to fraction form
    468,880.50/647,046.15 = 262,148.04/x
  3. Step 3: Cross multiply
    468,880.50x = 647,046.15 × 262,148.04
  4. Step 4: Simplify right side
    468,880.50x = 169,621,880,012.05
  5. Step 5: Solve for x
    x = 169,621,880,012.05/468,880.50
  6. Step 6: Final answer
    x = 361,759.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.