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Finding the Fourth Proportional to 460,847.88, 691,388.46 and 194,471.28

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Solution

The fourth proportional to 460,847.88, 691,388.46 and 194,471.28 is: 291,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,847.88 : 691,388.46 = 194,471.28 : x
  2. Step 2: Convert to fraction form
    460,847.88/691,388.46 = 194,471.28/x
  3. Step 3: Cross multiply
    460,847.88x = 691,388.46 × 194,471.28
  4. Step 4: Simplify right side
    460,847.88x = 134,455,198,793.43
  5. Step 5: Solve for x
    x = 134,455,198,793.43/460,847.88
  6. Step 6: Final answer
    x = 291,756.14

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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.