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Finding the Fourth Proportional to 288,093.20, 431,880.60 and 188,301.20

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Solution

The fourth proportional to 288,093.20, 431,880.60 and 188,301.20 is: 282,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,093.20 : 431,880.60 = 188,301.20 : x
  2. Step 2: Convert to fraction form
    288,093.20/431,880.60 = 188,301.20/x
  3. Step 3: Cross multiply
    288,093.20x = 431,880.60 × 188,301.20
  4. Step 4: Simplify right side
    288,093.20x = 81,323,635,236.72
  5. Step 5: Solve for x
    x = 81,323,635,236.72/288,093.20
  6. Step 6: Final answer
    x = 282,282.38

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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.