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Finding the Fourth Proportional to 456,507.50, 629,768.12 and 295,414.56

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Solution

The fourth proportional to 456,507.50, 629,768.12 and 295,414.56 is: 407,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,507.50 : 629,768.12 = 295,414.56 : x
  2. Step 2: Convert to fraction form
    456,507.50/629,768.12 = 295,414.56/x
  3. Step 3: Cross multiply
    456,507.50x = 629,768.12 × 295,414.56
  4. Step 4: Simplify right side
    456,507.50x = 186,042,670,594.75
  5. Step 5: Solve for x
    x = 186,042,670,594.75/456,507.50
  6. Step 6: Final answer
    x = 407,534.76

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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.