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Finding the Fourth Proportional to 323,197.84, 484,634.49 and 188,305.57

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Solution

The fourth proportional to 323,197.84, 484,634.49 and 188,305.57 is: 282,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,197.84 : 484,634.49 = 188,305.57 : x
  2. Step 2: Convert to fraction form
    323,197.84/484,634.49 = 188,305.57/x
  3. Step 3: Cross multiply
    323,197.84x = 484,634.49 × 188,305.57
  4. Step 4: Simplify right side
    323,197.84x = 91,259,373,881.11
  5. Step 5: Solve for x
    x = 91,259,373,881.11/323,197.84
  6. Step 6: Final answer
    x = 282,363.81

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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.