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Finding the Fourth Proportional to 321,924.72, 482,972.96 and 111,562.48

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Solution

The fourth proportional to 321,924.72, 482,972.96 and 111,562.48 is: 167,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,924.72 : 482,972.96 = 111,562.48 : x
  2. Step 2: Convert to fraction form
    321,924.72/482,972.96 = 111,562.48/x
  3. Step 3: Cross multiply
    321,924.72x = 482,972.96 × 111,562.48
  4. Step 4: Simplify right side
    321,924.72x = 53,881,661,190.54
  5. Step 5: Solve for x
    x = 53,881,661,190.54/321,924.72
  6. Step 6: Final answer
    x = 167,373.48

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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.