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Finding the Fourth Proportional to 313,830.52, 433,149.12 and 186,481.48

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Solution

The fourth proportional to 313,830.52, 433,149.12 and 186,481.48 is: 257,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830.52 : 433,149.12 = 186,481.48 : x
  2. Step 2: Convert to fraction form
    313,830.52/433,149.12 = 186,481.48/x
  3. Step 3: Cross multiply
    313,830.52x = 433,149.12 × 186,481.48
  4. Step 4: Simplify right side
    313,830.52x = 80,774,288,958.30
  5. Step 5: Solve for x
    x = 80,774,288,958.30/313,830.52
  6. Step 6: Final answer
    x = 257,381.88

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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.