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Finding the Fourth Proportional to 312,036.48, 467,996.13 and 122,489.46

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Solution

The fourth proportional to 312,036.48, 467,996.13 and 122,489.46 is: 183,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,036.48 : 467,996.13 = 122,489.46 : x
  2. Step 2: Convert to fraction form
    312,036.48/467,996.13 = 122,489.46/x
  3. Step 3: Cross multiply
    312,036.48x = 467,996.13 × 122,489.46
  4. Step 4: Simplify right side
    312,036.48x = 57,324,593,245.79
  5. Step 5: Solve for x
    x = 57,324,593,245.79/312,036.48
  6. Step 6: Final answer
    x = 183,711.19

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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.