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Finding the Fourth Proportional to 416,390.96, 624,584.39 and 100,847.90

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Solution

The fourth proportional to 416,390.96, 624,584.39 and 100,847.90 is: 151,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390.96 : 624,584.39 = 100,847.90 : x
  2. Step 2: Convert to fraction form
    416,390.96/624,584.39 = 100,847.90/x
  3. Step 3: Cross multiply
    416,390.96x = 624,584.39 × 100,847.90
  4. Step 4: Simplify right side
    416,390.96x = 62,988,025,161.50
  5. Step 5: Solve for x
    x = 62,988,025,161.50/416,390.96
  6. Step 6: Final answer
    x = 151,271.36

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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.