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Finding the Fourth Proportional to 431,683.37, 647,155.77 and 165,634.82

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Solution

The fourth proportional to 431,683.37, 647,155.77 and 165,634.82 is: 248,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,683.37 : 647,155.77 = 165,634.82 : x
  2. Step 2: Convert to fraction form
    431,683.37/647,155.77 = 165,634.82/x
  3. Step 3: Cross multiply
    431,683.37x = 647,155.77 × 165,634.82
  4. Step 4: Simplify right side
    431,683.37x = 107,191,529,475.91
  5. Step 5: Solve for x
    x = 107,191,529,475.91/431,683.37
  6. Step 6: Final answer
    x = 248,310.54

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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.