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Finding the Fourth Proportional to 591,840, 816,752.16 and 323,568

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Solution

The fourth proportional to 591,840, 816,752.16 and 323,568 is: 446,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,840 : 816,752.16 = 323,568 : x
  2. Step 2: Convert to fraction form
    591,840/816,752.16 = 323,568/x
  3. Step 3: Cross multiply
    591,840x = 816,752.16 × 323,568
  4. Step 4: Simplify right side
    591,840x = 264,274,862,906.88
  5. Step 5: Solve for x
    x = 264,274,862,906.88/591,840
  6. Step 6: Final answer
    x = 446,530.93

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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.