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Finding the Fourth Proportional to 458,414.70, 687,622.05 and 419,016.30

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Solution

The fourth proportional to 458,414.70, 687,622.05 and 419,016.30 is: 628,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,414.70 : 687,622.05 = 419,016.30 : x
  2. Step 2: Convert to fraction form
    458,414.70/687,622.05 = 419,016.30/x
  3. Step 3: Cross multiply
    458,414.70x = 687,622.05 × 419,016.30
  4. Step 4: Simplify right side
    458,414.70x = 288,124,847,189.42
  5. Step 5: Solve for x
    x = 288,124,847,189.42/458,414.70
  6. Step 6: Final answer
    x = 628,524.45

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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.