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Finding the Fourth Proportional to 264,297.40, 396,446.10 and 185,500.60

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Solution

The fourth proportional to 264,297.40, 396,446.10 and 185,500.60 is: 278,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,297.40 : 396,446.10 = 185,500.60 : x
  2. Step 2: Convert to fraction form
    264,297.40/396,446.10 = 185,500.60/x
  3. Step 3: Cross multiply
    264,297.40x = 396,446.10 × 185,500.60
  4. Step 4: Simplify right side
    264,297.40x = 73,540,989,417.66
  5. Step 5: Solve for x
    x = 73,540,989,417.66/264,297.40
  6. Step 6: Final answer
    x = 278,250.90

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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.