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Finding the Fourth Proportional to 273,409.20, 410,113.80 and 199,051.20

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Solution

The fourth proportional to 273,409.20, 410,113.80 and 199,051.20 is: 298,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,409.20 : 410,113.80 = 199,051.20 : x
  2. Step 2: Convert to fraction form
    273,409.20/410,113.80 = 199,051.20/x
  3. Step 3: Cross multiply
    273,409.20x = 410,113.80 × 199,051.20
  4. Step 4: Simplify right side
    273,409.20x = 81,633,644,026.56
  5. Step 5: Solve for x
    x = 81,633,644,026.56/273,409.20
  6. Step 6: Final answer
    x = 298,576.80

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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.