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Finding the Fourth Proportional to 313,782.40, 471,063.60 and 312,343.84

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Solution

The fourth proportional to 313,782.40, 471,063.60 and 312,343.84 is: 468,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,782.40 : 471,063.60 = 312,343.84 : x
  2. Step 2: Convert to fraction form
    313,782.40/471,063.60 = 312,343.84/x
  3. Step 3: Cross multiply
    313,782.40x = 471,063.60 × 312,343.84
  4. Step 4: Simplify right side
    313,782.40x = 147,133,813,708.22
  5. Step 5: Solve for x
    x = 147,133,813,708.22/313,782.40
  6. Step 6: Final answer
    x = 468,903.97

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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.