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Finding the Fourth Proportional to 365,817.57, 504,847.85 and 204,662.98

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Solution

The fourth proportional to 365,817.57, 504,847.85 and 204,662.98 is: 282,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,817.57 : 504,847.85 = 204,662.98 : x
  2. Step 2: Convert to fraction form
    365,817.57/504,847.85 = 204,662.98/x
  3. Step 3: Cross multiply
    365,817.57x = 504,847.85 × 204,662.98
  4. Step 4: Simplify right side
    365,817.57x = 103,323,665,427.59
  5. Step 5: Solve for x
    x = 103,323,665,427.59/365,817.57
  6. Step 6: Final answer
    x = 282,445.88

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1.5x scale

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.