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Finding the Fourth Proportional to 365,584.70, 504,503.43 and 204,437.90

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Solution

The fourth proportional to 365,584.70, 504,503.43 and 204,437.90 is: 282,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,584.70 : 504,503.43 = 204,437.90 : x
  2. Step 2: Convert to fraction form
    365,584.70/504,503.43 = 204,437.90/x
  3. Step 3: Cross multiply
    365,584.70x = 504,503.43 × 204,437.90
  4. Step 4: Simplify right side
    365,584.70x = 103,139,621,772.00
  5. Step 5: Solve for x
    x = 103,139,621,772.00/365,584.70
  6. Step 6: Final answer
    x = 282,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.