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Finding the Fourth Proportional to 327,341.80, 491,012.70 and 105,725.80

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Solution

The fourth proportional to 327,341.80, 491,012.70 and 105,725.80 is: 158,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,341.80 : 491,012.70 = 105,725.80 : x
  2. Step 2: Convert to fraction form
    327,341.80/491,012.70 = 105,725.80/x
  3. Step 3: Cross multiply
    327,341.80x = 491,012.70 × 105,725.80
  4. Step 4: Simplify right side
    327,341.80x = 51,912,710,517.66
  5. Step 5: Solve for x
    x = 51,912,710,517.66/327,341.80
  6. Step 6: Final answer
    x = 158,588.70

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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.