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Finding the Fourth Proportional to 410,452.80, 615,744 and 173,796.96

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Solution

The fourth proportional to 410,452.80, 615,744 and 173,796.96 is: 260,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,452.80 : 615,744 = 173,796.96 : x
  2. Step 2: Convert to fraction form
    410,452.80/615,744 = 173,796.96/x
  3. Step 3: Cross multiply
    410,452.80x = 615,744 × 173,796.96
  4. Step 4: Simplify right side
    410,452.80x = 107,014,435,338.24
  5. Step 5: Solve for x
    x = 107,014,435,338.24/410,452.80
  6. Step 6: Final answer
    x = 260,722.88

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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.