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Finding the Fourth Proportional to 702,789, 969,774.41 and 396,846.84

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Solution

The fourth proportional to 702,789, 969,774.41 and 396,846.84 is: 547,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,789 : 969,774.41 = 396,846.84 : x
  2. Step 2: Convert to fraction form
    702,789/969,774.41 = 396,846.84/x
  3. Step 3: Cross multiply
    702,789x = 969,774.41 × 396,846.84
  4. Step 4: Simplify right side
    702,789x = 384,851,908,137.13
  5. Step 5: Solve for x
    x = 384,851,908,137.13/702,789
  6. Step 6: Final answer
    x = 547,606.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.