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Finding the Fourth Proportional to 463,884.48, 696,138.24 and 168,396.48

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Solution

The fourth proportional to 463,884.48, 696,138.24 and 168,396.48 is: 252,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,884.48 : 696,138.24 = 168,396.48 : x
  2. Step 2: Convert to fraction form
    463,884.48/696,138.24 = 168,396.48/x
  3. Step 3: Cross multiply
    463,884.48x = 696,138.24 × 168,396.48
  4. Step 4: Simplify right side
    463,884.48x = 117,227,229,209.40
  5. Step 5: Solve for x
    x = 117,227,229,209.40/463,884.48
  6. Step 6: Final answer
    x = 252,707.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.