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Finding the Fourth Proportional to 273,880.30, 410,820.45 and 185,233.90

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Solution

The fourth proportional to 273,880.30, 410,820.45 and 185,233.90 is: 277,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,880.30 : 410,820.45 = 185,233.90 : x
  2. Step 2: Convert to fraction form
    273,880.30/410,820.45 = 185,233.90/x
  3. Step 3: Cross multiply
    273,880.30x = 410,820.45 × 185,233.90
  4. Step 4: Simplify right side
    273,880.30x = 76,097,874,153.26
  5. Step 5: Solve for x
    x = 76,097,874,153.26/273,880.30
  6. Step 6: Final answer
    x = 277,850.85

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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.