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Finding the Fourth Proportional to 336,998, 465,057.24 and 217,766

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Solution

The fourth proportional to 336,998, 465,057.24 and 217,766 is: 300,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,998 : 465,057.24 = 217,766 : x
  2. Step 2: Convert to fraction form
    336,998/465,057.24 = 217,766/x
  3. Step 3: Cross multiply
    336,998x = 465,057.24 × 217,766
  4. Step 4: Simplify right side
    336,998x = 101,273,654,925.84
  5. Step 5: Solve for x
    x = 101,273,654,925.84/336,998
  6. Step 6: Final answer
    x = 300,517.08

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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.