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Finding the Fourth Proportional to 456,142.66, 629,451.46 and 252,181.68

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Solution

The fourth proportional to 456,142.66, 629,451.46 and 252,181.68 is: 347,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,142.66 : 629,451.46 = 252,181.68 : x
  2. Step 2: Convert to fraction form
    456,142.66/629,451.46 = 252,181.68/x
  3. Step 3: Cross multiply
    456,142.66x = 629,451.46 × 252,181.68
  4. Step 4: Simplify right side
    456,142.66x = 158,736,126,661.25
  5. Step 5: Solve for x
    x = 158,736,126,661.25/456,142.66
  6. Step 6: Final answer
    x = 347,996.67

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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.