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Finding the Fourth Proportional to 374,103.90, 516,257.55 and 204,334.38

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Solution

The fourth proportional to 374,103.90, 516,257.55 and 204,334.38 is: 281,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,103.90 : 516,257.55 = 204,334.38 : x
  2. Step 2: Convert to fraction form
    374,103.90/516,257.55 = 204,334.38/x
  3. Step 3: Cross multiply
    374,103.90x = 516,257.55 × 204,334.38
  4. Step 4: Simplify right side
    374,103.90x = 105,489,166,399.57
  5. Step 5: Solve for x
    x = 105,489,166,399.57/374,103.90
  6. Step 6: Final answer
    x = 281,978.26

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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.