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Finding the Fourth Proportional to 484,797, 726,588 and 259,599.24

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Solution

The fourth proportional to 484,797, 726,588 and 259,599.24 is: 389,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,797 : 726,588 = 259,599.24 : x
  2. Step 2: Convert to fraction form
    484,797/726,588 = 259,599.24/x
  3. Step 3: Cross multiply
    484,797x = 726,588 × 259,599.24
  4. Step 4: Simplify right side
    484,797x = 188,621,692,593.12
  5. Step 5: Solve for x
    x = 188,621,692,593.12/484,797
  6. Step 6: Final answer
    x = 389,073.56

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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.