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Finding the Fourth Proportional to 301,224.48, 451,530.54 and 188,982.78

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Solution

The fourth proportional to 301,224.48, 451,530.54 and 188,982.78 is: 283,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,224.48 : 451,530.54 = 188,982.78 : x
  2. Step 2: Convert to fraction form
    301,224.48/451,530.54 = 188,982.78/x
  3. Step 3: Cross multiply
    301,224.48x = 451,530.54 × 188,982.78
  4. Step 4: Simplify right side
    301,224.48x = 85,331,496,704.10
  5. Step 5: Solve for x
    x = 85,331,496,704.10/301,224.48
  6. Step 6: Final answer
    x = 283,282.08

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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.