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Finding the Fourth Proportional to 207,474.78, 311,474.61 and 176,506.86

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Solution

The fourth proportional to 207,474.78, 311,474.61 and 176,506.86 is: 264,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,474.78 : 311,474.61 = 176,506.86 : x
  2. Step 2: Convert to fraction form
    207,474.78/311,474.61 = 176,506.86/x
  3. Step 3: Cross multiply
    207,474.78x = 311,474.61 × 176,506.86
  4. Step 4: Simplify right side
    207,474.78x = 54,977,405,380.82
  5. Step 5: Solve for x
    x = 54,977,405,380.82/207,474.78
  6. Step 6: Final answer
    x = 264,983.56

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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.