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Finding the Fourth Proportional to 456,157.87, 629,442.91 and 252,181.24

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Solution

The fourth proportional to 456,157.87, 629,442.91 and 252,181.24 is: 347,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,157.87 : 629,442.91 = 252,181.24 : x
  2. Step 2: Convert to fraction form
    456,157.87/629,442.91 = 252,181.24/x
  3. Step 3: Cross multiply
    456,157.87x = 629,442.91 × 252,181.24
  4. Step 4: Simplify right side
    456,157.87x = 158,733,693,553.01
  5. Step 5: Solve for x
    x = 158,733,693,553.01/456,157.87
  6. Step 6: Final answer
    x = 347,979.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.