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Finding the Fourth Proportional to 374,638.50, 516,990.60 and 204,868.98

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Solution

The fourth proportional to 374,638.50, 516,990.60 and 204,868.98 is: 282,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,638.50 : 516,990.60 = 204,868.98 : x
  2. Step 2: Convert to fraction form
    374,638.50/516,990.60 = 204,868.98/x
  3. Step 3: Cross multiply
    374,638.50x = 516,990.60 × 204,868.98
  4. Step 4: Simplify right side
    374,638.50x = 105,915,336,891.59
  5. Step 5: Solve for x
    x = 105,915,336,891.59/374,638.50
  6. Step 6: Final answer
    x = 282,713.43

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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.