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Finding the Fourth Proportional to 451,741.85, 676,709.26 and 271,727.90

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Solution

The fourth proportional to 451,741.85, 676,709.26 and 271,727.90 is: 407,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,741.85 : 676,709.26 = 271,727.90 : x
  2. Step 2: Convert to fraction form
    451,741.85/676,709.26 = 271,727.90/x
  3. Step 3: Cross multiply
    451,741.85x = 676,709.26 × 271,727.90
  4. Step 4: Simplify right side
    451,741.85x = 183,880,786,130.35
  5. Step 5: Solve for x
    x = 183,880,786,130.35/451,741.85
  6. Step 6: Final answer
    x = 407,048.38

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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.