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Finding the Fourth Proportional to 367,093.20, 506,589 and 214,236.48

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Solution

The fourth proportional to 367,093.20, 506,589 and 214,236.48 is: 295,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,093.20 : 506,589 = 214,236.48 : x
  2. Step 2: Convert to fraction form
    367,093.20/506,589 = 214,236.48/x
  3. Step 3: Cross multiply
    367,093.20x = 506,589 × 214,236.48
  4. Step 4: Simplify right side
    367,093.20x = 108,529,844,166.72
  5. Step 5: Solve for x
    x = 108,529,844,166.72/367,093.20
  6. Step 6: Final answer
    x = 295,646.57

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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.