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Finding the Fourth Proportional to 273,996, 410,994 and 77,004

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Solution

The fourth proportional to 273,996, 410,994 and 77,004 is: 115,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,996 : 410,994 = 77,004 : x
  2. Step 2: Convert to fraction form
    273,996/410,994 = 77,004/x
  3. Step 3: Cross multiply
    273,996x = 410,994 × 77,004
  4. Step 4: Simplify right side
    273,996x = 31,648,181,976
  5. Step 5: Solve for x
    x = 31,648,181,976/273,996
  6. Step 6: Final answer
    x = 115,506

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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.