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Finding the Fourth Proportional to 414,448.04, 621,672.06 and 274,173.86

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Solution

The fourth proportional to 414,448.04, 621,672.06 and 274,173.86 is: 411,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448.04 : 621,672.06 = 274,173.86 : x
  2. Step 2: Convert to fraction form
    414,448.04/621,672.06 = 274,173.86/x
  3. Step 3: Cross multiply
    414,448.04x = 621,672.06 × 274,173.86
  4. Step 4: Simplify right side
    414,448.04x = 170,446,228,344.35
  5. Step 5: Solve for x
    x = 170,446,228,344.35/414,448.04
  6. Step 6: Final answer
    x = 411,260.79

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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.