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Finding the Fourth Proportional to 456,146.43, 629,456.63 and 252,185.46

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Solution

The fourth proportional to 456,146.43, 629,456.63 and 252,185.46 is: 348,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,146.43 : 629,456.63 = 252,185.46 : x
  2. Step 2: Convert to fraction form
    456,146.43/629,456.63 = 252,185.46/x
  3. Step 3: Cross multiply
    456,146.43x = 629,456.63 × 252,185.46
  4. Step 4: Simplify right side
    456,146.43x = 158,739,809,786.60
  5. Step 5: Solve for x
    x = 158,739,809,786.60/456,146.43
  6. Step 6: Final answer
    x = 348,001.87

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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.