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Finding the Fourth Proportional to 378,880.45, 522,852.49 and 209,114.57

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Solution

The fourth proportional to 378,880.45, 522,852.49 and 209,114.57 is: 288,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,880.45 : 522,852.49 = 209,114.57 : x
  2. Step 2: Convert to fraction form
    378,880.45/522,852.49 = 209,114.57/x
  3. Step 3: Cross multiply
    378,880.45x = 522,852.49 × 209,114.57
  4. Step 4: Simplify right side
    378,880.45x = 109,336,073,619.78
  5. Step 5: Solve for x
    x = 109,336,073,619.78/378,880.45
  6. Step 6: Final answer
    x = 288,576.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.