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Finding the Fourth Proportional to 409,964.34, 565,750.49 and 228,676.23

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Solution

The fourth proportional to 409,964.34, 565,750.49 and 228,676.23 is: 315,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,964.34 : 565,750.49 = 228,676.23 : x
  2. Step 2: Convert to fraction form
    409,964.34/565,750.49 = 228,676.23/x
  3. Step 3: Cross multiply
    409,964.34x = 565,750.49 × 228,676.23
  4. Step 4: Simplify right side
    409,964.34x = 129,373,689,173.85
  5. Step 5: Solve for x
    x = 129,373,689,173.85/409,964.34
  6. Step 6: Final answer
    x = 315,573.03

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