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Finding the Fourth Proportional to 416,326.56, 624,491.44 and 100,782.96

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Solution

The fourth proportional to 416,326.56, 624,491.44 and 100,782.96 is: 151,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,326.56 : 624,491.44 = 100,782.96 : x
  2. Step 2: Convert to fraction form
    416,326.56/624,491.44 = 100,782.96/x
  3. Step 3: Cross multiply
    416,326.56x = 624,491.44 × 100,782.96
  4. Step 4: Simplify right side
    416,326.56x = 62,938,095,817.86
  5. Step 5: Solve for x
    x = 62,938,095,817.86/416,326.56
  6. Step 6: Final answer
    x = 151,174.83

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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.