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Finding the Fourth Proportional to 458,450.62, 687,684.39 and 158,940.94

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Solution

The fourth proportional to 458,450.62, 687,684.39 and 158,940.94 is: 238,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,450.62 : 687,684.39 = 158,940.94 : x
  2. Step 2: Convert to fraction form
    458,450.62/687,684.39 = 158,940.94/x
  3. Step 3: Cross multiply
    458,450.62x = 687,684.39 × 158,940.94
  4. Step 4: Simplify right side
    458,450.62x = 109,301,203,369.93
  5. Step 5: Solve for x
    x = 109,301,203,369.93/458,450.62
  6. Step 6: Final answer
    x = 238,414.34

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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.