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Finding the Fourth Proportional to 327,199.49, 490,805.45 and 102,554.97

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Solution

The fourth proportional to 327,199.49, 490,805.45 and 102,554.97 is: 153,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,199.49 : 490,805.45 = 102,554.97 : x
  2. Step 2: Convert to fraction form
    327,199.49/490,805.45 = 102,554.97/x
  3. Step 3: Cross multiply
    327,199.49x = 490,805.45 × 102,554.97
  4. Step 4: Simplify right side
    327,199.49x = 50,334,537,687.81
  5. Step 5: Solve for x
    x = 50,334,537,687.81/327,199.49
  6. Step 6: Final answer
    x = 153,834.40

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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.