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Finding the Fourth Proportional to 404,566.80, 606,704.40 and 204,820.80

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Solution

The fourth proportional to 404,566.80, 606,704.40 and 204,820.80 is: 307,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,566.80 : 606,704.40 = 204,820.80 : x
  2. Step 2: Convert to fraction form
    404,566.80/606,704.40 = 204,820.80/x
  3. Step 3: Cross multiply
    404,566.80x = 606,704.40 × 204,820.80
  4. Step 4: Simplify right side
    404,566.80x = 124,265,680,571.52
  5. Step 5: Solve for x
    x = 124,265,680,571.52/404,566.80
  6. Step 6: Final answer
    x = 307,157.39

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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.