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Finding the Fourth Proportional to 327,165.69, 490,748.70 and 149,548.14

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Solution

The fourth proportional to 327,165.69, 490,748.70 and 149,548.14 is: 224,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,165.69 : 490,748.70 = 149,548.14 : x
  2. Step 2: Convert to fraction form
    327,165.69/490,748.70 = 149,548.14/x
  3. Step 3: Cross multiply
    327,165.69x = 490,748.70 × 149,548.14
  4. Step 4: Simplify right side
    327,165.69x = 73,390,555,292.42
  5. Step 5: Solve for x
    x = 73,390,555,292.42/327,165.69
  6. Step 6: Final answer
    x = 224,322.29

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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.