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Finding the Fourth Proportional to 378,183.84, 521,886.72 and 206,103.18

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Solution

The fourth proportional to 378,183.84, 521,886.72 and 206,103.18 is: 284,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,183.84 : 521,886.72 = 206,103.18 : x
  2. Step 2: Convert to fraction form
    378,183.84/521,886.72 = 206,103.18/x
  3. Step 3: Cross multiply
    378,183.84x = 521,886.72 × 206,103.18
  4. Step 4: Simplify right side
    378,183.84x = 107,562,512,591.77
  5. Step 5: Solve for x
    x = 107,562,512,591.77/378,183.84
  6. Step 6: Final answer
    x = 284,418.58

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1.5x scale

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.