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Finding the Fourth Proportional to 331,678, 497,594.76 and 110,062

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Solution

The fourth proportional to 331,678, 497,594.76 and 110,062 is: 165,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,678 : 497,594.76 = 110,062 : x
  2. Step 2: Convert to fraction form
    331,678/497,594.76 = 110,062/x
  3. Step 3: Cross multiply
    331,678x = 497,594.76 × 110,062
  4. Step 4: Simplify right side
    331,678x = 54,766,274,475.12
  5. Step 5: Solve for x
    x = 54,766,274,475.12/331,678
  6. Step 6: Final answer
    x = 165,118.80

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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.