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Finding the Fourth Proportional to 331,735.86, 457,794.79 and 186,542.14

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Solution

The fourth proportional to 331,735.86, 457,794.79 and 186,542.14 is: 257,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,735.86 : 457,794.79 = 186,542.14 : x
  2. Step 2: Convert to fraction form
    331,735.86/457,794.79 = 186,542.14/x
  3. Step 3: Cross multiply
    331,735.86x = 457,794.79 × 186,542.14
  4. Step 4: Simplify right side
    331,735.86x = 85,398,019,807.45
  5. Step 5: Solve for x
    x = 85,398,019,807.45/331,735.86
  6. Step 6: Final answer
    x = 257,427.76

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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.