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Finding the Fourth Proportional to 475,909.85, 656,749.39 and 271,958.46

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Solution

The fourth proportional to 475,909.85, 656,749.39 and 271,958.46 is: 375,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,909.85 : 656,749.39 = 271,958.46 : x
  2. Step 2: Convert to fraction form
    475,909.85/656,749.39 = 271,958.46/x
  3. Step 3: Cross multiply
    475,909.85x = 656,749.39 × 271,958.46
  4. Step 4: Simplify right side
    475,909.85x = 178,608,552,710.34
  5. Step 5: Solve for x
    x = 178,608,552,710.34/475,909.85
  6. Step 6: Final answer
    x = 375,299.13

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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.