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Finding the Fourth Proportional to 253,990.74, 380,908.33 and 175,608.66

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Solution

The fourth proportional to 253,990.74, 380,908.33 and 175,608.66 is: 263,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,990.74 : 380,908.33 = 175,608.66 : x
  2. Step 2: Convert to fraction form
    253,990.74/380,908.33 = 175,608.66/x
  3. Step 3: Cross multiply
    253,990.74x = 380,908.33 × 175,608.66
  4. Step 4: Simplify right side
    253,990.74x = 66,890,801,414.14
  5. Step 5: Solve for x
    x = 66,890,801,414.14/253,990.74
  6. Step 6: Final answer
    x = 263,359.21

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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.