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Finding the Fourth Proportional to 320,215.30, 480,305.64 and 162,439.68

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Solution

The fourth proportional to 320,215.30, 480,305.64 and 162,439.68 is: 243,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,215.30 : 480,305.64 = 162,439.68 : x
  2. Step 2: Convert to fraction form
    320,215.30/480,305.64 = 162,439.68/x
  3. Step 3: Cross multiply
    320,215.30x = 480,305.64 × 162,439.68
  4. Step 4: Simplify right side
    320,215.30x = 78,020,694,463.80
  5. Step 5: Solve for x
    x = 78,020,694,463.80/320,215.30
  6. Step 6: Final answer
    x = 243,650.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.