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Finding the Fourth Proportional to 512,152.64, 706,705.44 and 285,807.68

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Solution

The fourth proportional to 512,152.64, 706,705.44 and 285,807.68 is: 394,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,152.64 : 706,705.44 = 285,807.68 : x
  2. Step 2: Convert to fraction form
    512,152.64/706,705.44 = 285,807.68/x
  3. Step 3: Cross multiply
    512,152.64x = 706,705.44 × 285,807.68
  4. Step 4: Simplify right side
    512,152.64x = 201,981,842,249.78
  5. Step 5: Solve for x
    x = 201,981,842,249.78/512,152.64
  6. Step 6: Final answer
    x = 394,378.21

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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.