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Finding the Fourth Proportional to 508,213.14, 762,776.67 and 271,757.94

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Solution

The fourth proportional to 508,213.14, 762,776.67 and 271,757.94 is: 407,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,213.14 : 762,776.67 = 271,757.94 : x
  2. Step 2: Convert to fraction form
    508,213.14/762,776.67 = 271,757.94/x
  3. Step 3: Cross multiply
    508,213.14x = 762,776.67 × 271,757.94
  4. Step 4: Simplify right side
    508,213.14x = 207,290,616,519.26
  5. Step 5: Solve for x
    x = 207,290,616,519.26/508,213.14
  6. Step 6: Final answer
    x = 407,881.26

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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.