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Finding the Fourth Proportional to 702,209.88, 969,049.30 and 396,350.41

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Solution

The fourth proportional to 702,209.88, 969,049.30 and 396,350.41 is: 546,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,209.88 : 969,049.30 = 396,350.41 : x
  2. Step 2: Convert to fraction form
    702,209.88/969,049.30 = 396,350.41/x
  3. Step 3: Cross multiply
    702,209.88x = 969,049.30 × 396,350.41
  4. Step 4: Simplify right side
    702,209.88x = 384,083,087,365.21
  5. Step 5: Solve for x
    x = 384,083,087,365.21/702,209.88
  6. Step 6: Final answer
    x = 546,963.38

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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.