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Finding the Fourth Proportional to 330,323.20, 456,035.16 and 217,474

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Solution

The fourth proportional to 330,323.20, 456,035.16 and 217,474 is: 300,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,323.20 : 456,035.16 = 217,474 : x
  2. Step 2: Convert to fraction form
    330,323.20/456,035.16 = 217,474/x
  3. Step 3: Cross multiply
    330,323.20x = 456,035.16 × 217,474
  4. Step 4: Simplify right side
    330,323.20x = 99,175,790,385.84
  5. Step 5: Solve for x
    x = 99,175,790,385.84/330,323.20
  6. Step 6: Final answer
    x = 300,238.65

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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.