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Finding the Fourth Proportional to 264,874.20, 397,311.30 and 185,158.05

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Solution

The fourth proportional to 264,874.20, 397,311.30 and 185,158.05 is: 277,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,874.20 : 397,311.30 = 185,158.05 : x
  2. Step 2: Convert to fraction form
    264,874.20/397,311.30 = 185,158.05/x
  3. Step 3: Cross multiply
    264,874.20x = 397,311.30 × 185,158.05
  4. Step 4: Simplify right side
    264,874.20x = 73,565,385,550.97
  5. Step 5: Solve for x
    x = 73,565,385,550.97/264,874.20
  6. Step 6: Final answer
    x = 277,737.08

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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.