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Finding the Fourth Proportional to 273,144.80, 409,814.40 and 263,424.80

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Solution

The fourth proportional to 273,144.80, 409,814.40 and 263,424.80 is: 395,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,144.80 : 409,814.40 = 263,424.80 : x
  2. Step 2: Convert to fraction form
    273,144.80/409,814.40 = 263,424.80/x
  3. Step 3: Cross multiply
    273,144.80x = 409,814.40 × 263,424.80
  4. Step 4: Simplify right side
    273,144.80x = 107,955,276,357.12
  5. Step 5: Solve for x
    x = 107,955,276,357.12/273,144.80
  6. Step 6: Final answer
    x = 395,230.94

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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.