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Finding the Fourth Proportional to 416,438.82, 624,658.03 and 135,956.07

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Solution

The fourth proportional to 416,438.82, 624,658.03 and 135,956.07 is: 203,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,438.82 : 624,658.03 = 135,956.07 : x
  2. Step 2: Convert to fraction form
    416,438.82/624,658.03 = 135,956.07/x
  3. Step 3: Cross multiply
    416,438.82x = 624,658.03 × 135,956.07
  4. Step 4: Simplify right side
    416,438.82x = 84,926,050,512.85
  5. Step 5: Solve for x
    x = 84,926,050,512.85/416,438.82
  6. Step 6: Final answer
    x = 203,934.04

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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.