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Finding the Fourth Proportional to 484,203.89, 726,388.56 and 199,738.94

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Solution

The fourth proportional to 484,203.89, 726,388.56 and 199,738.94 is: 299,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,203.89 : 726,388.56 = 199,738.94 : x
  2. Step 2: Convert to fraction form
    484,203.89/726,388.56 = 199,738.94/x
  3. Step 3: Cross multiply
    484,203.89x = 726,388.56 × 199,738.94
  4. Step 4: Simplify right side
    484,203.89x = 145,088,077,370.58
  5. Step 5: Solve for x
    x = 145,088,077,370.58/484,203.89
  6. Step 6: Final answer
    x = 299,642.53

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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.