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Finding the Fourth Proportional to 389,006.65, 583,588.59 and 164,367.73

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Solution

The fourth proportional to 389,006.65, 583,588.59 and 164,367.73 is: 246,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,006.65 : 583,588.59 = 164,367.73 : x
  2. Step 2: Convert to fraction form
    389,006.65/583,588.59 = 164,367.73/x
  3. Step 3: Cross multiply
    389,006.65x = 583,588.59 × 164,367.73
  4. Step 4: Simplify right side
    389,006.65x = 95,923,131,792.20
  5. Step 5: Solve for x
    x = 95,923,131,792.20/389,006.65
  6. Step 6: Final answer
    x = 246,584.81

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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.