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Finding the Fourth Proportional to 321,122.34, 480,797.78 and 241,996.68

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Solution

The fourth proportional to 321,122.34, 480,797.78 and 241,996.68 is: 362,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,122.34 : 480,797.78 = 241,996.68 : x
  2. Step 2: Convert to fraction form
    321,122.34/480,797.78 = 241,996.68/x
  3. Step 3: Cross multiply
    321,122.34x = 480,797.78 × 241,996.68
  4. Step 4: Simplify right side
    321,122.34x = 116,351,465,301.39
  5. Step 5: Solve for x
    x = 116,351,465,301.39/321,122.34
  6. Step 6: Final answer
    x = 362,327.53

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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.