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Finding the Fourth Proportional to 264,782.70, 397,344.15 and 146,538.90

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Solution

The fourth proportional to 264,782.70, 397,344.15 and 146,538.90 is: 219,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,782.70 : 397,344.15 = 146,538.90 : x
  2. Step 2: Convert to fraction form
    264,782.70/397,344.15 = 146,538.90/x
  3. Step 3: Cross multiply
    264,782.70x = 397,344.15 × 146,538.90
  4. Step 4: Simplify right side
    264,782.70x = 58,226,374,662.44
  5. Step 5: Solve for x
    x = 58,226,374,662.44/264,782.70
  6. Step 6: Final answer
    x = 219,902.49

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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.