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Finding the Fourth Proportional to 327,967.20, 492,037.20 and 117,583.20

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Solution

The fourth proportional to 327,967.20, 492,037.20 and 117,583.20 is: 176,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,967.20 : 492,037.20 = 117,583.20 : x
  2. Step 2: Convert to fraction form
    327,967.20/492,037.20 = 117,583.20/x
  3. Step 3: Cross multiply
    327,967.20x = 492,037.20 × 117,583.20
  4. Step 4: Simplify right side
    327,967.20x = 57,855,308,495.04
  5. Step 5: Solve for x
    x = 57,855,308,495.04/327,967.20
  6. Step 6: Final answer
    x = 176,405.78

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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.