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Finding the Fourth Proportional to 313,382.82, 432,478.64 and 177,414.00

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Solution

The fourth proportional to 313,382.82, 432,478.64 and 177,414.00 is: 244,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.82 : 432,478.64 = 177,414.00 : x
  2. Step 2: Convert to fraction form
    313,382.82/432,478.64 = 177,414.00/x
  3. Step 3: Cross multiply
    313,382.82x = 432,478.64 × 177,414.00
  4. Step 4: Simplify right side
    313,382.82x = 76,727,764,258.70
  5. Step 5: Solve for x
    x = 76,727,764,258.70/313,382.82
  6. Step 6: Final answer
    x = 244,837.17

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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.