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Finding the Fourth Proportional to 273,876.30, 410,814.45 and 185,229.90

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Solution

The fourth proportional to 273,876.30, 410,814.45 and 185,229.90 is: 277,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,876.30 : 410,814.45 = 185,229.90 : x
  2. Step 2: Convert to fraction form
    273,876.30/410,814.45 = 185,229.90/x
  3. Step 3: Cross multiply
    273,876.30x = 410,814.45 × 185,229.90
  4. Step 4: Simplify right side
    273,876.30x = 76,095,119,492.06
  5. Step 5: Solve for x
    x = 76,095,119,492.06/273,876.30
  6. Step 6: Final answer
    x = 277,844.85

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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.