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Finding the Fourth Proportional to 496,272.12, 744,714.32 and 229,983

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Solution

The fourth proportional to 496,272.12, 744,714.32 and 229,983 is: 345,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,272.12 : 744,714.32 = 229,983 : x
  2. Step 2: Convert to fraction form
    496,272.12/744,714.32 = 229,983/x
  3. Step 3: Cross multiply
    496,272.12x = 744,714.32 × 229,983
  4. Step 4: Simplify right side
    496,272.12x = 171,271,633,456.56
  5. Step 5: Solve for x
    x = 171,271,633,456.56/496,272.12
  6. Step 6: Final answer
    x = 345,116.37

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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.