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Finding the Fourth Proportional to 414,902.90, 622,500.15 and 148,672.10

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Solution

The fourth proportional to 414,902.90, 622,500.15 and 148,672.10 is: 223,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902.90 : 622,500.15 = 148,672.10 : x
  2. Step 2: Convert to fraction form
    414,902.90/622,500.15 = 148,672.10/x
  3. Step 3: Cross multiply
    414,902.90x = 622,500.15 × 148,672.10
  4. Step 4: Simplify right side
    414,902.90x = 92,548,404,550.82
  5. Step 5: Solve for x
    x = 92,548,404,550.82/414,902.90
  6. Step 6: Final answer
    x = 223,060.39

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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.