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Finding the Fourth Proportional to 374,074.50, 516,222.81 and 204,309.03

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Solution

The fourth proportional to 374,074.50, 516,222.81 and 204,309.03 is: 281,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,074.50 : 516,222.81 = 204,309.03 : x
  2. Step 2: Convert to fraction form
    374,074.50/516,222.81 = 204,309.03/x
  3. Step 3: Cross multiply
    374,074.50x = 516,222.81 × 204,309.03
  4. Step 4: Simplify right side
    374,074.50x = 105,468,981,574.97
  5. Step 5: Solve for x
    x = 105,468,981,574.97/374,074.50
  6. Step 6: Final answer
    x = 281,946.46

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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.