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Finding the Fourth Proportional to 414,452.56, 621,678.80 and 274,178.36

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Solution

The fourth proportional to 414,452.56, 621,678.80 and 274,178.36 is: 411,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,452.56 : 621,678.80 = 274,178.36 : x
  2. Step 2: Convert to fraction form
    414,452.56/621,678.80 = 274,178.36/x
  3. Step 3: Cross multiply
    414,452.56x = 621,678.80 × 274,178.36
  4. Step 4: Simplify right side
    414,452.56x = 170,450,873,830.77
  5. Step 5: Solve for x
    x = 170,450,873,830.77/414,452.56
  6. Step 6: Final answer
    x = 411,267.51

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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.