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Finding the Fourth Proportional to 333,822.72, 500,861.92 and 200,797.20

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Solution

The fourth proportional to 333,822.72, 500,861.92 and 200,797.20 is: 301,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,822.72 : 500,861.92 = 200,797.20 : x
  2. Step 2: Convert to fraction form
    333,822.72/500,861.92 = 200,797.20/x
  3. Step 3: Cross multiply
    333,822.72x = 500,861.92 × 200,797.20
  4. Step 4: Simplify right side
    333,822.72x = 100,571,671,122.62
  5. Step 5: Solve for x
    x = 100,571,671,122.62/333,822.72
  6. Step 6: Final answer
    x = 301,272.70

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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.