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Finding the Fourth Proportional to 416,318.56, 624,479.44 and 100,774.96

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Solution

The fourth proportional to 416,318.56, 624,479.44 and 100,774.96 is: 151,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,318.56 : 624,479.44 = 100,774.96 : x
  2. Step 2: Convert to fraction form
    416,318.56/624,479.44 = 100,774.96/x
  3. Step 3: Cross multiply
    416,318.56x = 624,479.44 × 100,774.96
  4. Step 4: Simplify right side
    416,318.56x = 62,931,890,586.82
  5. Step 5: Solve for x
    x = 62,931,890,586.82/416,318.56
  6. Step 6: Final answer
    x = 151,162.83

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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.