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Finding the Fourth Proportional to 405,737.20, 568,965.20 and 405,737.20

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Solution

The fourth proportional to 405,737.20, 568,965.20 and 405,737.20 is: 568,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,737.20 : 568,965.20 = 405,737.20 : x
  2. Step 2: Convert to fraction form
    405,737.20/568,965.20 = 405,737.20/x
  3. Step 3: Cross multiply
    405,737.20x = 568,965.20 × 405,737.20
  4. Step 4: Simplify right side
    405,737.20x = 230,850,347,145.44
  5. Step 5: Solve for x
    x = 230,850,347,145.44/405,737.20
  6. Step 6: Final answer
    x = 568,965.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.