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Finding the Fourth Proportional to 416,379.96, 624,374.82 and 150,105.24

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Solution

The fourth proportional to 416,379.96, 624,374.82 and 150,105.24 is: 225,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,379.96 : 624,374.82 = 150,105.24 : x
  2. Step 2: Convert to fraction form
    416,379.96/624,374.82 = 150,105.24/x
  3. Step 3: Cross multiply
    416,379.96x = 624,374.82 × 150,105.24
  4. Step 4: Simplify right side
    416,379.96x = 93,721,932,206.06
  5. Step 5: Solve for x
    x = 93,721,932,206.06/416,379.96
  6. Step 6: Final answer
    x = 225,087.52

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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.