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Finding the Fourth Proportional to 378,688.54, 522,581.42 and 208,922.62

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Solution

The fourth proportional to 378,688.54, 522,581.42 and 208,922.62 is: 288,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,688.54 : 522,581.42 = 208,922.62 : x
  2. Step 2: Convert to fraction form
    378,688.54/522,581.42 = 208,922.62/x
  3. Step 3: Cross multiply
    378,688.54x = 522,581.42 × 208,922.62
  4. Step 4: Simplify right side
    378,688.54x = 109,179,079,429.72
  5. Step 5: Solve for x
    x = 109,179,079,429.72/378,688.54
  6. Step 6: Final answer
    x = 288,308.38

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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.