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Finding the Fourth Proportional to 273,499.80, 410,037.27 and 177,233.65

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Solution

The fourth proportional to 273,499.80, 410,037.27 and 177,233.65 is: 265,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,499.80 : 410,037.27 = 177,233.65 : x
  2. Step 2: Convert to fraction form
    273,499.80/410,037.27 = 177,233.65/x
  3. Step 3: Cross multiply
    273,499.80x = 410,037.27 × 177,233.65
  4. Step 4: Simplify right side
    273,499.80x = 72,672,401,998.14
  5. Step 5: Solve for x
    x = 72,672,401,998.14/273,499.80
  6. Step 6: Final answer
    x = 265,712.82

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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.