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Finding the Fourth Proportional to 274,433.92, 411,650.88 and 180,917.76

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Solution

The fourth proportional to 274,433.92, 411,650.88 and 180,917.76 is: 271,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,433.92 : 411,650.88 = 180,917.76 : x
  2. Step 2: Convert to fraction form
    274,433.92/411,650.88 = 180,917.76/x
  3. Step 3: Cross multiply
    274,433.92x = 411,650.88 × 180,917.76
  4. Step 4: Simplify right side
    274,433.92x = 74,474,955,111.63
  5. Step 5: Solve for x
    x = 74,474,955,111.63/274,433.92
  6. Step 6: Final answer
    x = 271,376.64

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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.