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Finding the Fourth Proportional to 416,019.27, 624,078.11 and 135,536.52

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Solution

The fourth proportional to 416,019.27, 624,078.11 and 135,536.52 is: 203,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019.27 : 624,078.11 = 135,536.52 : x
  2. Step 2: Convert to fraction form
    416,019.27/624,078.11 = 135,536.52/x
  3. Step 3: Cross multiply
    416,019.27x = 624,078.11 × 135,536.52
  4. Step 4: Simplify right side
    416,019.27x = 84,585,374,559.89
  5. Step 5: Solve for x
    x = 84,585,374,559.89/416,019.27
  6. Step 6: Final answer
    x = 203,320.81

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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.