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Finding the Fourth Proportional to 512,152.14, 706,704.75 and 285,807.18

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Solution

The fourth proportional to 512,152.14, 706,704.75 and 285,807.18 is: 394,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,152.14 : 706,704.75 = 285,807.18 : x
  2. Step 2: Convert to fraction form
    512,152.14/706,704.75 = 285,807.18/x
  3. Step 3: Cross multiply
    512,152.14x = 706,704.75 × 285,807.18
  4. Step 4: Simplify right side
    512,152.14x = 201,981,291,690.11
  5. Step 5: Solve for x
    x = 201,981,291,690.11/512,152.14
  6. Step 6: Final answer
    x = 394,377.52

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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.