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Finding the Fourth Proportional to 414,417.62, 621,626.52 and 274,143.44

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Solution

The fourth proportional to 414,417.62, 621,626.52 and 274,143.44 is: 411,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,417.62 : 621,626.52 = 274,143.44 : x
  2. Step 2: Convert to fraction form
    414,417.62/621,626.52 = 274,143.44/x
  3. Step 3: Cross multiply
    414,417.62x = 621,626.52 × 274,143.44
  4. Step 4: Simplify right side
    414,417.62x = 170,414,832,588.03
  5. Step 5: Solve for x
    x = 170,414,832,588.03/414,417.62
  6. Step 6: Final answer
    x = 411,215.22

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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.