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Finding the Fourth Proportional to 397,893.90, 596,847.06 and 221,521.92

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Solution

The fourth proportional to 397,893.90, 596,847.06 and 221,521.92 is: 332,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,893.90 : 596,847.06 = 221,521.92 : x
  2. Step 2: Convert to fraction form
    397,893.90/596,847.06 = 221,521.92/x
  3. Step 3: Cross multiply
    397,893.90x = 596,847.06 × 221,521.92
  4. Step 4: Simplify right side
    397,893.90x = 132,214,706,677.56
  5. Step 5: Solve for x
    x = 132,214,706,677.56/397,893.90
  6. Step 6: Final answer
    x = 332,286.34

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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.