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Finding the Fourth Proportional to 512,005.72, 706,568.34 and 285,651.28

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Solution

The fourth proportional to 512,005.72, 706,568.34 and 285,651.28 is: 394,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,005.72 : 706,568.34 = 285,651.28 : x
  2. Step 2: Convert to fraction form
    512,005.72/706,568.34 = 285,651.28/x
  3. Step 3: Cross multiply
    512,005.72x = 706,568.34 × 285,651.28
  4. Step 4: Simplify right side
    512,005.72x = 201,832,150,728.48
  5. Step 5: Solve for x
    x = 201,832,150,728.48/512,005.72
  6. Step 6: Final answer
    x = 394,199.02

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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.