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Finding the Fourth Proportional to 846,165, 1,167,742.26 and 488,469

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Solution

The fourth proportional to 846,165, 1,167,742.26 and 488,469 is: 674,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,165 : 1,167,742.26 = 488,469 : x
  2. Step 2: Convert to fraction form
    846,165/1,167,742.26 = 488,469/x
  3. Step 3: Cross multiply
    846,165x = 1,167,742.26 × 488,469
  4. Step 4: Simplify right side
    846,165x = 570,405,893,999.94
  5. Step 5: Solve for x
    x = 570,405,893,999.94/846,165
  6. Step 6: Final answer
    x = 674,107.17

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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.