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Finding the Fourth Proportional to 327,080.31, 490,810.81 and 137,526.95

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Solution

The fourth proportional to 327,080.31, 490,810.81 and 137,526.95 is: 206,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,080.31 : 490,810.81 = 137,526.95 : x
  2. Step 2: Convert to fraction form
    327,080.31/490,810.81 = 137,526.95/x
  3. Step 3: Cross multiply
    327,080.31x = 490,810.81 × 137,526.95
  4. Step 4: Simplify right side
    327,080.31x = 67,499,713,726.33
  5. Step 5: Solve for x
    x = 67,499,713,726.33/327,080.31
  6. Step 6: Final answer
    x = 206,370.46

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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.