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Finding the Fourth Proportional to 310,601.70, 465,902.55 and 275,172.30

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Solution

The fourth proportional to 310,601.70, 465,902.55 and 275,172.30 is: 412,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,601.70 : 465,902.55 = 275,172.30 : x
  2. Step 2: Convert to fraction form
    310,601.70/465,902.55 = 275,172.30/x
  3. Step 3: Cross multiply
    310,601.70x = 465,902.55 × 275,172.30
  4. Step 4: Simplify right side
    310,601.70x = 128,203,476,259.37
  5. Step 5: Solve for x
    x = 128,203,476,259.37/310,601.70
  6. Step 6: Final answer
    x = 412,758.45

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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.