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Finding the Fourth Proportional to 310,414.34, 465,523.10 and 132,873.68

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Solution

The fourth proportional to 310,414.34, 465,523.10 and 132,873.68 is: 199,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414.34 : 465,523.10 = 132,873.68 : x
  2. Step 2: Convert to fraction form
    310,414.34/465,523.10 = 132,873.68/x
  3. Step 3: Cross multiply
    310,414.34x = 465,523.10 × 132,873.68
  4. Step 4: Simplify right side
    310,414.34x = 61,855,766,757.64
  5. Step 5: Solve for x
    x = 61,855,766,757.64/310,414.34
  6. Step 6: Final answer
    x = 199,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.