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Finding the Fourth Proportional to 374,286.50, 516,516.70 and 204,520.63

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Solution

The fourth proportional to 374,286.50, 516,516.70 and 204,520.63 is: 282,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,286.50 : 516,516.70 = 204,520.63 : x
  2. Step 2: Convert to fraction form
    374,286.50/516,516.70 = 204,520.63/x
  3. Step 3: Cross multiply
    374,286.50x = 516,516.70 × 204,520.63
  4. Step 4: Simplify right side
    374,286.50x = 105,638,319,086.93
  5. Step 5: Solve for x
    x = 105,638,319,086.93/374,286.50
  6. Step 6: Final answer
    x = 282,239.19

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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.