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Finding the Fourth Proportional to 365,834.24, 504,822.48 and 204,676.64

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Solution

The fourth proportional to 365,834.24, 504,822.48 and 204,676.64 is: 282,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,834.24 : 504,822.48 = 204,676.64 : x
  2. Step 2: Convert to fraction form
    365,834.24/504,822.48 = 204,676.64/x
  3. Step 3: Cross multiply
    365,834.24x = 504,822.48 × 204,676.64
  4. Step 4: Simplify right side
    365,834.24x = 103,325,369,002.87
  5. Step 5: Solve for x
    x = 103,325,369,002.87/365,834.24
  6. Step 6: Final answer
    x = 282,437.67

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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.