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Finding the Fourth Proportional to 331,978.40, 497,902.80 and 110,362.40

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Solution

The fourth proportional to 331,978.40, 497,902.80 and 110,362.40 is: 165,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,978.40 : 497,902.80 = 110,362.40 : x
  2. Step 2: Convert to fraction form
    331,978.40/497,902.80 = 110,362.40/x
  3. Step 3: Cross multiply
    331,978.40x = 497,902.80 × 110,362.40
  4. Step 4: Simplify right side
    331,978.40x = 54,949,747,974.72
  5. Step 5: Solve for x
    x = 54,949,747,974.72/331,978.40
  6. Step 6: Final answer
    x = 165,522.06

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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.