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Finding the Fourth Proportional to 409,165.92, 564,063.26 and 287,930.45

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Solution

The fourth proportional to 409,165.92, 564,063.26 and 287,930.45 is: 396,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,165.92 : 564,063.26 = 287,930.45 : x
  2. Step 2: Convert to fraction form
    409,165.92/564,063.26 = 287,930.45/x
  3. Step 3: Cross multiply
    409,165.92x = 564,063.26 × 287,930.45
  4. Step 4: Simplify right side
    409,165.92x = 162,410,984,020.30
  5. Step 5: Solve for x
    x = 162,410,984,020.30/409,165.92
  6. Step 6: Final answer
    x = 396,931.85

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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.