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Finding the Fourth Proportional to 337,877.43, 506,282.64 and 274,388.62

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Solution

The fourth proportional to 337,877.43, 506,282.64 and 274,388.62 is: 411,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,877.43 : 506,282.64 = 274,388.62 : x
  2. Step 2: Convert to fraction form
    337,877.43/506,282.64 = 274,388.62/x
  3. Step 3: Cross multiply
    337,877.43x = 506,282.64 × 274,388.62
  4. Step 4: Simplify right side
    337,877.43x = 138,918,194,919.56
  5. Step 5: Solve for x
    x = 138,918,194,919.56/337,877.43
  6. Step 6: Final answer
    x = 411,149.67

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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.