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Finding the Fourth Proportional to 647,986.87, 972,414.15 and 268,907.98

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Solution

The fourth proportional to 647,986.87, 972,414.15 and 268,907.98 is: 403,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,986.87 : 972,414.15 = 268,907.98 : x
  2. Step 2: Convert to fraction form
    647,986.87/972,414.15 = 268,907.98/x
  3. Step 3: Cross multiply
    647,986.87x = 972,414.15 × 268,907.98
  4. Step 4: Simplify right side
    647,986.87x = 261,489,924,799.92
  5. Step 5: Solve for x
    x = 261,489,924,799.92/647,986.87
  6. Step 6: Final answer
    x = 403,542.01

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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.