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Finding the Fourth Proportional to 512,093.92, 706,689.06 and 285,739.42

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Solution

The fourth proportional to 512,093.92, 706,689.06 and 285,739.42 is: 394,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,093.92 : 706,689.06 = 285,739.42 : x
  2. Step 2: Convert to fraction form
    512,093.92/706,689.06 = 285,739.42/x
  3. Step 3: Cross multiply
    512,093.92x = 706,689.06 × 285,739.42
  4. Step 4: Simplify right side
    512,093.92x = 201,928,922,124.75
  5. Step 5: Solve for x
    x = 201,928,922,124.75/512,093.92
  6. Step 6: Final answer
    x = 394,320.09

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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.