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Finding the Fourth Proportional to 288,766.80, 433,150.20 and 218,782.80

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Solution

The fourth proportional to 288,766.80, 433,150.20 and 218,782.80 is: 328,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766.80 : 433,150.20 = 218,782.80 : x
  2. Step 2: Convert to fraction form
    288,766.80/433,150.20 = 218,782.80/x
  3. Step 3: Cross multiply
    288,766.80x = 433,150.20 × 218,782.80
  4. Step 4: Simplify right side
    288,766.80x = 94,765,813,576.56
  5. Step 5: Solve for x
    x = 94,765,813,576.56/288,766.80
  6. Step 6: Final answer
    x = 328,174.20

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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.