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Finding the Fourth Proportional to 495,213.14, 743,114.82 and 179,694.66

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Solution

The fourth proportional to 495,213.14, 743,114.82 and 179,694.66 is: 269,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,213.14 : 743,114.82 = 179,694.66 : x
  2. Step 2: Convert to fraction form
    495,213.14/743,114.82 = 179,694.66/x
  3. Step 3: Cross multiply
    495,213.14x = 743,114.82 × 179,694.66
  4. Step 4: Simplify right side
    495,213.14x = 133,533,764,920.86
  5. Step 5: Solve for x
    x = 133,533,764,920.86/495,213.14
  6. Step 6: Final answer
    x = 269,649.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.