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Finding the Fourth Proportional to 274,313.70, 411,470.55 and 96,819.30

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Solution

The fourth proportional to 274,313.70, 411,470.55 and 96,819.30 is: 145,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,313.70 : 411,470.55 = 96,819.30 : x
  2. Step 2: Convert to fraction form
    274,313.70/411,470.55 = 96,819.30/x
  3. Step 3: Cross multiply
    274,313.70x = 411,470.55 × 96,819.30
  4. Step 4: Simplify right side
    274,313.70x = 39,838,290,621.62
  5. Step 5: Solve for x
    x = 39,838,290,621.62/274,313.70
  6. Step 6: Final answer
    x = 145,228.95

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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.