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Finding the Fourth Proportional to 512,206.20, 706,915.80 and 285,866.28

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Solution

The fourth proportional to 512,206.20, 706,915.80 and 285,866.28 is: 394,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,206.20 : 706,915.80 = 285,866.28 : x
  2. Step 2: Convert to fraction form
    512,206.20/706,915.80 = 285,866.28/x
  3. Step 3: Cross multiply
    512,206.20x = 706,915.80 × 285,866.28
  4. Step 4: Simplify right side
    512,206.20x = 202,083,390,019.22
  5. Step 5: Solve for x
    x = 202,083,390,019.22/512,206.20
  6. Step 6: Final answer
    x = 394,535.23

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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.