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Finding the Fourth Proportional to 412,874.62, 619,281.85 and 185,240.73

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Solution

The fourth proportional to 412,874.62, 619,281.85 and 185,240.73 is: 277,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874.62 : 619,281.85 = 185,240.73 : x
  2. Step 2: Convert to fraction form
    412,874.62/619,281.85 = 185,240.73/x
  3. Step 3: Cross multiply
    412,874.62x = 619,281.85 × 185,240.73
  4. Step 4: Simplify right side
    412,874.62x = 114,716,221,969.75
  5. Step 5: Solve for x
    x = 114,716,221,969.75/412,874.62
  6. Step 6: Final answer
    x = 277,847.60

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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.