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Finding the Fourth Proportional to 415,035.20, 622,625.70 and 148,950.20

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Solution

The fourth proportional to 415,035.20, 622,625.70 and 148,950.20 is: 223,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,035.20 : 622,625.70 = 148,950.20 : x
  2. Step 2: Convert to fraction form
    415,035.20/622,625.70 = 148,950.20/x
  3. Step 3: Cross multiply
    415,035.20x = 622,625.70 × 148,950.20
  4. Step 4: Simplify right side
    415,035.20x = 92,740,222,540.14
  5. Step 5: Solve for x
    x = 92,740,222,540.14/415,035.20
  6. Step 6: Final answer
    x = 223,451.46

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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.