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Finding the Fourth Proportional to 323,228.43, 484,680.42 and 188,336.10

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Solution

The fourth proportional to 323,228.43, 484,680.42 and 188,336.10 is: 282,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,228.43 : 484,680.42 = 188,336.10 : x
  2. Step 2: Convert to fraction form
    323,228.43/484,680.42 = 188,336.10/x
  3. Step 3: Cross multiply
    323,228.43x = 484,680.42 × 188,336.10
  4. Step 4: Simplify right side
    323,228.43x = 91,282,820,049.16
  5. Step 5: Solve for x
    x = 91,282,820,049.16/323,228.43
  6. Step 6: Final answer
    x = 282,409.63

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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.