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Finding the Fourth Proportional to 409,702.44, 564,958.26 and 323,518.44

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Solution

The fourth proportional to 409,702.44, 564,958.26 and 323,518.44 is: 446,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,702.44 : 564,958.26 = 323,518.44 : x
  2. Step 2: Convert to fraction form
    409,702.44/564,958.26 = 323,518.44/x
  3. Step 3: Cross multiply
    409,702.44x = 564,958.26 × 323,518.44
  4. Step 4: Simplify right side
    409,702.44x = 182,774,414,940.31
  5. Step 5: Solve for x
    x = 182,774,414,940.31/409,702.44
  6. Step 6: Final answer
    x = 446,115.03

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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.