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Finding the Fourth Proportional to 702,794.13, 969,781.44 and 396,852

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Solution

The fourth proportional to 702,794.13, 969,781.44 and 396,852 is: 547,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,794.13 : 969,781.44 = 396,852 : x
  2. Step 2: Convert to fraction form
    702,794.13/969,781.44 = 396,852/x
  3. Step 3: Cross multiply
    702,794.13x = 969,781.44 × 396,852
  4. Step 4: Simplify right side
    702,794.13x = 384,859,704,026.88
  5. Step 5: Solve for x
    x = 384,859,704,026.88/702,794.13
  6. Step 6: Final answer
    x = 547,613.71

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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.