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Finding the Fourth Proportional to 456,024.38, 629,289.06 and 252,063.14

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Solution

The fourth proportional to 456,024.38, 629,289.06 and 252,063.14 is: 347,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,024.38 : 629,289.06 = 252,063.14 : x
  2. Step 2: Convert to fraction form
    456,024.38/629,289.06 = 252,063.14/x
  3. Step 3: Cross multiply
    456,024.38x = 629,289.06 × 252,063.14
  4. Step 4: Simplify right side
    456,024.38x = 158,620,576,431.25
  5. Step 5: Solve for x
    x = 158,620,576,431.25/456,024.38
  6. Step 6: Final answer
    x = 347,833.54

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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.