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Finding the Fourth Proportional to 327,301.88, 490,953.39 and 102,680.00

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Solution

The fourth proportional to 327,301.88, 490,953.39 and 102,680.00 is: 154,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,301.88 : 490,953.39 = 102,680.00 : x
  2. Step 2: Convert to fraction form
    327,301.88/490,953.39 = 102,680.00/x
  3. Step 3: Cross multiply
    327,301.88x = 490,953.39 × 102,680.00
  4. Step 4: Simplify right side
    327,301.88x = 50,411,095,848.07
  5. Step 5: Solve for x
    x = 50,411,095,848.07/327,301.88
  6. Step 6: Final answer
    x = 154,020.18

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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.