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Finding the Fourth Proportional to 405,974.80, 608,962.20 and 389,645.20

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Solution

The fourth proportional to 405,974.80, 608,962.20 and 389,645.20 is: 584,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,974.80 : 608,962.20 = 389,645.20 : x
  2. Step 2: Convert to fraction form
    405,974.80/608,962.20 = 389,645.20/x
  3. Step 3: Cross multiply
    405,974.80x = 608,962.20 × 389,645.20
  4. Step 4: Simplify right side
    405,974.80x = 237,279,198,211.44
  5. Step 5: Solve for x
    x = 237,279,198,211.44/405,974.80
  6. Step 6: Final answer
    x = 584,467.80

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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.