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Finding the Fourth Proportional to 273,882.30, 410,823.45 and 199,232.70

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Solution

The fourth proportional to 273,882.30, 410,823.45 and 199,232.70 is: 298,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,882.30 : 410,823.45 = 199,232.70 : x
  2. Step 2: Convert to fraction form
    273,882.30/410,823.45 = 199,232.70/x
  3. Step 3: Cross multiply
    273,882.30x = 410,823.45 × 199,232.70
  4. Step 4: Simplify right side
    273,882.30x = 81,849,465,166.82
  5. Step 5: Solve for x
    x = 81,849,465,166.82/273,882.30
  6. Step 6: Final answer
    x = 298,849.05

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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.