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Finding the Fourth Proportional to 327,150.72, 490,829.76 and 116,784

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Solution

The fourth proportional to 327,150.72, 490,829.76 and 116,784 is: 175,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,150.72 : 490,829.76 = 116,784 : x
  2. Step 2: Convert to fraction form
    327,150.72/490,829.76 = 116,784/x
  3. Step 3: Cross multiply
    327,150.72x = 490,829.76 × 116,784
  4. Step 4: Simplify right side
    327,150.72x = 57,321,062,691.84
  5. Step 5: Solve for x
    x = 57,321,062,691.84/327,150.72
  6. Step 6: Final answer
    x = 175,213.01

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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.