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Finding the Fourth Proportional to 467,842.82, 645,626.94 and 258,297.46

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Solution

The fourth proportional to 467,842.82, 645,626.94 and 258,297.46 is: 356,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,842.82 : 645,626.94 = 258,297.46 : x
  2. Step 2: Convert to fraction form
    467,842.82/645,626.94 = 258,297.46/x
  3. Step 3: Cross multiply
    467,842.82x = 645,626.94 × 258,297.46
  4. Step 4: Simplify right side
    467,842.82x = 166,763,798,709.57
  5. Step 5: Solve for x
    x = 166,763,798,709.57/467,842.82
  6. Step 6: Final answer
    x = 356,452.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.