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Finding the Fourth Proportional to 312,311.68, 467,976.96 and 241,408

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Solution

The fourth proportional to 312,311.68, 467,976.96 and 241,408 is: 361,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,311.68 : 467,976.96 = 241,408 : x
  2. Step 2: Convert to fraction form
    312,311.68/467,976.96 = 241,408/x
  3. Step 3: Cross multiply
    312,311.68x = 467,976.96 × 241,408
  4. Step 4: Simplify right side
    312,311.68x = 112,973,381,959.68
  5. Step 5: Solve for x
    x = 112,973,381,959.68/312,311.68
  6. Step 6: Final answer
    x = 361,732.81

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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.