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Finding the Fourth Proportional to 463,019.70, 694,556.43 and 178,711.83

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Solution

The fourth proportional to 463,019.70, 694,556.43 and 178,711.83 is: 268,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,019.70 : 694,556.43 = 178,711.83 : x
  2. Step 2: Convert to fraction form
    463,019.70/694,556.43 = 178,711.83/x
  3. Step 3: Cross multiply
    463,019.70x = 694,556.43 × 178,711.83
  4. Step 4: Simplify right side
    463,019.70x = 124,125,450,643.57
  5. Step 5: Solve for x
    x = 124,125,450,643.57/463,019.70
  6. Step 6: Final answer
    x = 268,078.12

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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.