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Finding the Fourth Proportional to 416,010, 624,016.84 and 131,701.92

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Solution

The fourth proportional to 416,010, 624,016.84 and 131,701.92 is: 197,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,010 : 624,016.84 = 131,701.92 : x
  2. Step 2: Convert to fraction form
    416,010/624,016.84 = 131,701.92/x
  3. Step 3: Cross multiply
    416,010x = 624,016.84 × 131,701.92
  4. Step 4: Simplify right side
    416,010x = 82,184,215,940.33
  5. Step 5: Solve for x
    x = 82,184,215,940.33/416,010
  6. Step 6: Final answer
    x = 197,553.46

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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.