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Finding the Fourth Proportional to 331,695, 497,542.50 and 110,079

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Solution

The fourth proportional to 331,695, 497,542.50 and 110,079 is: 165,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,695 : 497,542.50 = 110,079 : x
  2. Step 2: Convert to fraction form
    331,695/497,542.50 = 110,079/x
  3. Step 3: Cross multiply
    331,695x = 497,542.50 × 110,079
  4. Step 4: Simplify right side
    331,695x = 54,768,980,857.50
  5. Step 5: Solve for x
    x = 54,768,980,857.50/331,695
  6. Step 6: Final answer
    x = 165,118.50

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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.