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Finding the Fourth Proportional to 702,172, 969,022.29 and 396,322.84

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Solution

The fourth proportional to 702,172, 969,022.29 and 396,322.84 is: 546,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,172 : 969,022.29 = 396,322.84 : x
  2. Step 2: Convert to fraction form
    702,172/969,022.29 = 396,322.84/x
  3. Step 3: Cross multiply
    702,172x = 969,022.29 × 396,322.84
  4. Step 4: Simplify right side
    702,172x = 384,045,665,996.10
  5. Step 5: Solve for x
    x = 384,045,665,996.10/702,172
  6. Step 6: Final answer
    x = 546,939.59

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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.