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Finding the Fourth Proportional to 310,621.50, 465,932.25 and 100,290.42

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Solution

The fourth proportional to 310,621.50, 465,932.25 and 100,290.42 is: 150,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,621.50 : 465,932.25 = 100,290.42 : x
  2. Step 2: Convert to fraction form
    310,621.50/465,932.25 = 100,290.42/x
  3. Step 3: Cross multiply
    310,621.50x = 465,932.25 × 100,290.42
  4. Step 4: Simplify right side
    310,621.50x = 46,728,541,044.05
  5. Step 5: Solve for x
    x = 46,728,541,044.05/310,621.50
  6. Step 6: Final answer
    x = 150,435.63

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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.