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Finding the Fourth Proportional to 267,627.86, 401,509.29 and 188,895.86

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Solution

The fourth proportional to 267,627.86, 401,509.29 and 188,895.86 is: 283,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,627.86 : 401,509.29 = 188,895.86 : x
  2. Step 2: Convert to fraction form
    267,627.86/401,509.29 = 188,895.86/x
  3. Step 3: Cross multiply
    267,627.86x = 401,509.29 × 188,895.86
  4. Step 4: Simplify right side
    267,627.86x = 75,843,442,632.54
  5. Step 5: Solve for x
    x = 75,843,442,632.54/267,627.86
  6. Step 6: Final answer
    x = 283,391.43

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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.