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Finding the Fourth Proportional to 402,575.82, 603,962.69 and 200,267.39

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Solution

The fourth proportional to 402,575.82, 603,962.69 and 200,267.39 is: 300,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,575.82 : 603,962.69 = 200,267.39 : x
  2. Step 2: Convert to fraction form
    402,575.82/603,962.69 = 200,267.39/x
  3. Step 3: Cross multiply
    402,575.82x = 603,962.69 × 200,267.39
  4. Step 4: Simplify right side
    402,575.82x = 120,954,027,562.53
  5. Step 5: Solve for x
    x = 120,954,027,562.53/402,575.82
  6. Step 6: Final answer
    x = 300,450.30

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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.