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Finding the Fourth Proportional to 283,669.80, 425,115.90 and 200,466.60

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Solution

The fourth proportional to 283,669.80, 425,115.90 and 200,466.60 is: 300,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,669.80 : 425,115.90 = 200,466.60 : x
  2. Step 2: Convert to fraction form
    283,669.80/425,115.90 = 200,466.60/x
  3. Step 3: Cross multiply
    283,669.80x = 425,115.90 × 200,466.60
  4. Step 4: Simplify right side
    283,669.80x = 85,221,539,078.94
  5. Step 5: Solve for x
    x = 85,221,539,078.94/283,669.80
  6. Step 6: Final answer
    x = 300,425.14

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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.