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Finding the Fourth Proportional to 374,074.75, 516,223.16 and 204,309.28

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Solution

The fourth proportional to 374,074.75, 516,223.16 and 204,309.28 is: 281,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,074.75 : 516,223.16 = 204,309.28 : x
  2. Step 2: Convert to fraction form
    374,074.75/516,223.16 = 204,309.28/x
  3. Step 3: Cross multiply
    374,074.75x = 516,223.16 × 204,309.28
  4. Step 4: Simplify right side
    374,074.75x = 105,469,182,138.93
  5. Step 5: Solve for x
    x = 105,469,182,138.93/374,074.75
  6. Step 6: Final answer
    x = 281,946.81

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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.