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Finding the Fourth Proportional to 591,840, 816,742.08 and 323,568

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Solution

The fourth proportional to 591,840, 816,742.08 and 323,568 is: 446,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,840 : 816,742.08 = 323,568 : x
  2. Step 2: Convert to fraction form
    591,840/816,742.08 = 323,568/x
  3. Step 3: Cross multiply
    591,840x = 816,742.08 × 323,568
  4. Step 4: Simplify right side
    591,840x = 264,271,601,341.44
  5. Step 5: Solve for x
    x = 264,271,601,341.44/591,840
  6. Step 6: Final answer
    x = 446,525.41

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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.