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Finding the Fourth Proportional to 452,446.20, 678,086.10 and 274,764.60

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Solution

The fourth proportional to 452,446.20, 678,086.10 and 274,764.60 is: 411,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,446.20 : 678,086.10 = 274,764.60 : x
  2. Step 2: Convert to fraction form
    452,446.20/678,086.10 = 274,764.60/x
  3. Step 3: Cross multiply
    452,446.20x = 678,086.10 × 274,764.60
  4. Step 4: Simplify right side
    452,446.20x = 186,314,056,032.06
  5. Step 5: Solve for x
    x = 186,314,056,032.06/452,446.20
  6. Step 6: Final answer
    x = 411,792.73

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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.