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Finding the Fourth Proportional to 456,076.48, 629,381.12 and 254,872.64

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Solution

The fourth proportional to 456,076.48, 629,381.12 and 254,872.64 is: 351,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,076.48 : 629,381.12 = 254,872.64 : x
  2. Step 2: Convert to fraction form
    456,076.48/629,381.12 = 254,872.64/x
  3. Step 3: Cross multiply
    456,076.48x = 629,381.12 × 254,872.64
  4. Step 4: Simplify right side
    456,076.48x = 160,412,027,620.56
  5. Step 5: Solve for x
    x = 160,412,027,620.56/456,076.48
  6. Step 6: Final answer
    x = 351,721.77

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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.