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Finding the Fourth Proportional to 327,542.48, 490,526.38 and 186,874.64

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Solution

The fourth proportional to 327,542.48, 490,526.38 and 186,874.64 is: 279,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,542.48 : 490,526.38 = 186,874.64 : x
  2. Step 2: Convert to fraction form
    327,542.48/490,526.38 = 186,874.64/x
  3. Step 3: Cross multiply
    327,542.48x = 490,526.38 × 186,874.64
  4. Step 4: Simplify right side
    327,542.48x = 91,666,940,673.00
  5. Step 5: Solve for x
    x = 91,666,940,673.00/327,542.48
  6. Step 6: Final answer
    x = 279,862.75

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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.