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Finding the Fourth Proportional to 274,385.46, 411,297.50 and 185,648.34

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Solution

The fourth proportional to 274,385.46, 411,297.50 and 185,648.34 is: 278,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,385.46 : 411,297.50 = 185,648.34 : x
  2. Step 2: Convert to fraction form
    274,385.46/411,297.50 = 185,648.34/x
  3. Step 3: Cross multiply
    274,385.46x = 411,297.50 × 185,648.34
  4. Step 4: Simplify right side
    274,385.46x = 76,356,698,121.15
  5. Step 5: Solve for x
    x = 76,356,698,121.15/274,385.46
  6. Step 6: Final answer
    x = 278,282.60

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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.