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Finding the Fourth Proportional to 327,165.36, 490,752.36 and 116,815.92

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Solution

The fourth proportional to 327,165.36, 490,752.36 and 116,815.92 is: 175,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,165.36 : 490,752.36 = 116,815.92 : x
  2. Step 2: Convert to fraction form
    327,165.36/490,752.36 = 116,815.92/x
  3. Step 3: Cross multiply
    327,165.36x = 490,752.36 × 116,815.92
  4. Step 4: Simplify right side
    327,165.36x = 57,327,688,425.57
  5. Step 5: Solve for x
    x = 57,327,688,425.57/327,165.36
  6. Step 6: Final answer
    x = 175,225.42

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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.