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Finding the Fourth Proportional to 310,706.98, 465,871.84 and 202,716.56

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Solution

The fourth proportional to 310,706.98, 465,871.84 and 202,716.56 is: 303,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,706.98 : 465,871.84 = 202,716.56 : x
  2. Step 2: Convert to fraction form
    310,706.98/465,871.84 = 202,716.56/x
  3. Step 3: Cross multiply
    310,706.98x = 465,871.84 × 202,716.56
  4. Step 4: Simplify right side
    310,706.98x = 94,439,937,463.56
  5. Step 5: Solve for x
    x = 94,439,937,463.56/310,706.98
  6. Step 6: Final answer
    x = 303,951.78

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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.