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Finding the Fourth Proportional to 297,675, 410,796.36 and 170,420.76

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Solution

The fourth proportional to 297,675, 410,796.36 and 170,420.76 is: 235,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,675 : 410,796.36 = 170,420.76 : x
  2. Step 2: Convert to fraction form
    297,675/410,796.36 = 170,420.76/x
  3. Step 3: Cross multiply
    297,675x = 410,796.36 × 170,420.76
  4. Step 4: Simplify right side
    297,675x = 70,008,227,876.43
  5. Step 5: Solve for x
    x = 70,008,227,876.43/297,675
  6. Step 6: Final answer
    x = 235,183.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.